Using Radicals with Elementary Operations - Math
Card 1 of 12
Simplify:

Simplify:
Tap to reveal answer
Try to group factors in pairs to get perfect squares under the square root:

Try to group factors in pairs to get perfect squares under the square root:
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Simplify the expression:.

Simplify the expression:.
Tap to reveal answer
Exponents in the denominator can be subtracted from exponents in the numerator.

Recall that
.
Therefore,
.
Exponents in the denominator can be subtracted from exponents in the numerator.
Recall that .
Therefore, .
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What is the value of
?
What is the value of ?
Tap to reveal answer
When combining terms involving radicals, we can only combine the ones that have the same radical. For this problem, that means
has to stay on its own while we can combine
and
into
. The simple integers can be combined too, giving us our answer with three seperate terms.
When combining terms involving radicals, we can only combine the ones that have the same radical. For this problem, that means has to stay on its own while we can combine
and
into
. The simple integers can be combined too, giving us our answer with three seperate terms.
← Didn't Know|Knew It →
Simplify:

Simplify:
Tap to reveal answer
Try to group factors in pairs to get perfect squares under the square root:

Try to group factors in pairs to get perfect squares under the square root:
← Didn't Know|Knew It →
Simplify the expression:.

Simplify the expression:.
Tap to reveal answer
Exponents in the denominator can be subtracted from exponents in the numerator.

Recall that
.
Therefore,
.
Exponents in the denominator can be subtracted from exponents in the numerator.
Recall that .
Therefore, .
← Didn't Know|Knew It →
What is the value of
?
What is the value of ?
Tap to reveal answer
When combining terms involving radicals, we can only combine the ones that have the same radical. For this problem, that means
has to stay on its own while we can combine
and
into
. The simple integers can be combined too, giving us our answer with three seperate terms.
When combining terms involving radicals, we can only combine the ones that have the same radical. For this problem, that means has to stay on its own while we can combine
and
into
. The simple integers can be combined too, giving us our answer with three seperate terms.
← Didn't Know|Knew It →
Simplify:

Simplify:
Tap to reveal answer
Try to group factors in pairs to get perfect squares under the square root:

Try to group factors in pairs to get perfect squares under the square root:
← Didn't Know|Knew It →
Simplify the expression:.

Simplify the expression:.
Tap to reveal answer
Exponents in the denominator can be subtracted from exponents in the numerator.

Recall that
.
Therefore,
.
Exponents in the denominator can be subtracted from exponents in the numerator.
Recall that .
Therefore, .
← Didn't Know|Knew It →
What is the value of
?
What is the value of ?
Tap to reveal answer
When combining terms involving radicals, we can only combine the ones that have the same radical. For this problem, that means
has to stay on its own while we can combine
and
into
. The simple integers can be combined too, giving us our answer with three seperate terms.
When combining terms involving radicals, we can only combine the ones that have the same radical. For this problem, that means has to stay on its own while we can combine
and
into
. The simple integers can be combined too, giving us our answer with three seperate terms.
← Didn't Know|Knew It →
Simplify:

Simplify:
Tap to reveal answer
Try to group factors in pairs to get perfect squares under the square root:

Try to group factors in pairs to get perfect squares under the square root:
← Didn't Know|Knew It →
Simplify the expression:.

Simplify the expression:.
Tap to reveal answer
Exponents in the denominator can be subtracted from exponents in the numerator.

Recall that
.
Therefore,
.
Exponents in the denominator can be subtracted from exponents in the numerator.
Recall that .
Therefore, .
← Didn't Know|Knew It →
What is the value of
?
What is the value of ?
Tap to reveal answer
When combining terms involving radicals, we can only combine the ones that have the same radical. For this problem, that means
has to stay on its own while we can combine
and
into
. The simple integers can be combined too, giving us our answer with three seperate terms.
When combining terms involving radicals, we can only combine the ones that have the same radical. For this problem, that means has to stay on its own while we can combine
and
into
. The simple integers can be combined too, giving us our answer with three seperate terms.
← Didn't Know|Knew It →