IXL | Relationship between squares and square roots

Simplify:

( 81)² =

ref_doc_title.

Learn with an example

question

Simplify:

( 100)² =

key idea

To find the square (²) of a given number, multiply that number by itself.

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

solution

Squaring a number is the inverse of taking its square root. The two operations cancel each other out.

So, ( 100)² = 100.

Looking for more? Try these:

Lesson: Square roots

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

E.1Square roots of perfect squares

Lesson: Square roots

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!