How to divide square roots - PSAT Math
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(√27 + √12) / √3 is equal to
(√27 + √12) / √3 is equal to
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√27 is the same as 3√3, while √12 is the same as 2√3.
3√3 + 2√3 = 5√3
(5√3)/(√3) = 5
√27 is the same as 3√3, while √12 is the same as 2√3.
3√3 + 2√3 = 5√3
(5√3)/(√3) = 5
Divide and simplify. Assume all integers are positive real numbers.

Divide and simplify. Assume all integers are positive real numbers.
Tap to see back →

There are two ways to solve this problem. First you can divide the numbers under the radical. Then simplify.
Example 1

Example 2
Find the square root of both numerator and denominator, simplifying as much as possible then dividing out like terms.

Both methods will give you the correct answer of
.
There are two ways to solve this problem. First you can divide the numbers under the radical. Then simplify.
Example 1
Example 2
Find the square root of both numerator and denominator, simplifying as much as possible then dividing out like terms.
Both methods will give you the correct answer of .
Simplify:

Simplify:
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To simplfy, we must first distribute the square root.

Next, we can simplify each of the square roots.

To simplfy, we must first distribute the square root.
Next, we can simplify each of the square roots.
Find the quotient:

Find the quotient:
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Simplify each radical:

Rationalize the denominator:

Simplify each radical:
Rationalize the denominator:
Find the quotient:

Find the quotient:
Tap to see back →
Find the quotient:

There are two ways to approach this problem.
Option 1: Combine the radicals first, the reduce

Option 2: Simplify the radicals first, then reduce

Find the quotient:
There are two ways to approach this problem.
Option 1: Combine the radicals first, the reduce
Option 2: Simplify the radicals first, then reduce
(√27 + √12) / √3 is equal to
(√27 + √12) / √3 is equal to
Tap to see back →
√27 is the same as 3√3, while √12 is the same as 2√3.
3√3 + 2√3 = 5√3
(5√3)/(√3) = 5
√27 is the same as 3√3, while √12 is the same as 2√3.
3√3 + 2√3 = 5√3
(5√3)/(√3) = 5
Divide and simplify. Assume all integers are positive real numbers.

Divide and simplify. Assume all integers are positive real numbers.
Tap to see back →

There are two ways to solve this problem. First you can divide the numbers under the radical. Then simplify.
Example 1

Example 2
Find the square root of both numerator and denominator, simplifying as much as possible then dividing out like terms.

Both methods will give you the correct answer of
.
There are two ways to solve this problem. First you can divide the numbers under the radical. Then simplify.
Example 1
Example 2
Find the square root of both numerator and denominator, simplifying as much as possible then dividing out like terms.
Both methods will give you the correct answer of .
Simplify:

Simplify:
Tap to see back →
To simplfy, we must first distribute the square root.

Next, we can simplify each of the square roots.

To simplfy, we must first distribute the square root.
Next, we can simplify each of the square roots.
Find the quotient:

Find the quotient:
Tap to see back →
Simplify each radical:

Rationalize the denominator:

Simplify each radical:
Rationalize the denominator:
Find the quotient:

Find the quotient:
Tap to see back →
Find the quotient:

There are two ways to approach this problem.
Option 1: Combine the radicals first, the reduce

Option 2: Simplify the radicals first, then reduce

Find the quotient:
There are two ways to approach this problem.
Option 1: Combine the radicals first, the reduce
Option 2: Simplify the radicals first, then reduce
(√27 + √12) / √3 is equal to
(√27 + √12) / √3 is equal to
Tap to see back →
√27 is the same as 3√3, while √12 is the same as 2√3.
3√3 + 2√3 = 5√3
(5√3)/(√3) = 5
√27 is the same as 3√3, while √12 is the same as 2√3.
3√3 + 2√3 = 5√3
(5√3)/(√3) = 5
Divide and simplify. Assume all integers are positive real numbers.

Divide and simplify. Assume all integers are positive real numbers.
Tap to see back →

There are two ways to solve this problem. First you can divide the numbers under the radical. Then simplify.
Example 1

Example 2
Find the square root of both numerator and denominator, simplifying as much as possible then dividing out like terms.

Both methods will give you the correct answer of
.
There are two ways to solve this problem. First you can divide the numbers under the radical. Then simplify.
Example 1
Example 2
Find the square root of both numerator and denominator, simplifying as much as possible then dividing out like terms.
Both methods will give you the correct answer of .
Simplify:

Simplify:
Tap to see back →
To simplfy, we must first distribute the square root.

Next, we can simplify each of the square roots.

To simplfy, we must first distribute the square root.
Next, we can simplify each of the square roots.
Find the quotient:

Find the quotient:
Tap to see back →
Simplify each radical:

Rationalize the denominator:

Simplify each radical:
Rationalize the denominator:
Find the quotient:

Find the quotient:
Tap to see back →
Find the quotient:

There are two ways to approach this problem.
Option 1: Combine the radicals first, the reduce

Option 2: Simplify the radicals first, then reduce

Find the quotient:
There are two ways to approach this problem.
Option 1: Combine the radicals first, the reduce
Option 2: Simplify the radicals first, then reduce
(√27 + √12) / √3 is equal to
(√27 + √12) / √3 is equal to
Tap to see back →
√27 is the same as 3√3, while √12 is the same as 2√3.
3√3 + 2√3 = 5√3
(5√3)/(√3) = 5
√27 is the same as 3√3, while √12 is the same as 2√3.
3√3 + 2√3 = 5√3
(5√3)/(√3) = 5
Divide and simplify. Assume all integers are positive real numbers.

Divide and simplify. Assume all integers are positive real numbers.
Tap to see back →

There are two ways to solve this problem. First you can divide the numbers under the radical. Then simplify.
Example 1

Example 2
Find the square root of both numerator and denominator, simplifying as much as possible then dividing out like terms.

Both methods will give you the correct answer of
.
There are two ways to solve this problem. First you can divide the numbers under the radical. Then simplify.
Example 1
Example 2
Find the square root of both numerator and denominator, simplifying as much as possible then dividing out like terms.
Both methods will give you the correct answer of .
Simplify:

Simplify:
Tap to see back →
To simplfy, we must first distribute the square root.

Next, we can simplify each of the square roots.

To simplfy, we must first distribute the square root.
Next, we can simplify each of the square roots.
Find the quotient:

Find the quotient:
Tap to see back →
Simplify each radical:

Rationalize the denominator:

Simplify each radical:
Rationalize the denominator:
Find the quotient:

Find the quotient:
Tap to see back →
Find the quotient:

There are two ways to approach this problem.
Option 1: Combine the radicals first, the reduce

Option 2: Simplify the radicals first, then reduce

Find the quotient:
There are two ways to approach this problem.
Option 1: Combine the radicals first, the reduce
Option 2: Simplify the radicals first, then reduce