10
8
6
4
2
0
32=?

Square and Cube Roots

In this lesson we will study some ways to think about second and third powers by using geometric figures. We will also learn about square roots and cube roots, which reverse the operations of taking the second and third power of a number.


Squares and square roots

Question 1 of 12. Raising a number to its second power is called squaring that number. For example, the square of 3 is 32=3(3)=9. This is because a square whose sides are each 3 units long has an area (number of small green squares) of 9 square units, as shown on the grid to the left.

Find the square of each number in the table below. Click the Next button in each row to draw that row’s problem on the grid to the left.

Number
(x)
The square of
that number (x2)
332=3(3)=9
222=()=
442=()=
112=()=
002=()=
−2(2)2=()=
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