SSAT Middle Level Quantitative › How to find the square root
Evaluate:
Find the individual square roots and perform the operations on them.
The square root of a number is 43. What is that number?
By definition, the square root of a number multiplied by itself yields that number. Therefore, 43 is the square root of .
Evaluate:
is undefined.
To find the square root of a fraction, extract the square root of both the numerator and the denominator. Since ,
, and since
,
.
Combine these results:
First we must simplify the square roots.
Because 8 times 8 = 64
Because 2 times 2 = 4
Now we have:
When two parentheses are beside each other, that means muliply.
Which of the following numbers has a square root between 18 and 19?
All of these numbers have square roots between 18 and 19.
For the square root of a number to fall between 18 and 19, the number has to fall between the squares of these numbers - that is:
If , then
, or, equivalently,
All four choices fall in this range.
Evaluate:
The square root of a number is the number which, when multiplied by itself, yields that number. Since ,
.
We must first simplify all of the square roots.
Because 7 times 7 =49
Because 4 times 4 =16
Because 5 times 5 = 25
Now we plug all of these into the original equation to get:
The answer is 6!
Which of the following statements is true about ?
The square root of a number is the number which, when multiplied by itself, yields that number. Since ,
.
Which of the following statements is true about ?
The square root of a number is the number which, when multiplied by itself, yields that number. Since ,
, and
then
Evaluate:
is an undefined quantity.
, so
.
The square root of a fraction can be determined by taking the square roots of both numerator and denominator. Since ,
, and since
,
. Therefore,
.