IXL | Estimate positive and negative square roots

Which two integers is

104

between?

10 and 11

7 and 8

11 and 12

8 and 9

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Learn with an example

question

Which two integers is

between?

10 and 11

8 and 9

7 and 8

9 and 10

key idea

Taking the square root (

) is the inverse of squaring. For example, 9 = 3 since 9 = 32.

A perfect square is the result when a whole number is multiplied by itself. The square root of a perfect square is always a whole number.

solution

Find the perfect squares that are just below and just above 88.

The perfect square just below 88 is 81:

= 9

The perfect square just above 88 is 100:

100

= 10

100

, so 9 <

< 10.

Looking for more? Try these:

Lesson: Square roots

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Work it out

Not feeling ready yet? These can help:

E.3Positive and negative square roots

E.2Estimate positive square roots

Lesson: Square roots

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