Square and Cube Root of a number. worksheet - Free Printable

Here are the answers to the math problems, solved step by step.

Part A: Powers (Exponents)
To solve these, multiply the base number by itself as many times as the small number (exponent) says.

1) $2^2 = 2 \times 2 = 4$ (Already done)
2) $2^4 = 2 \times 2 \times 2 \times 2 = 16$
3) $3^2 = 3 \times 3 = 9$
4) $4^3 = 4 \times 4 \times 4 = 64$
5) $5^2 = 5 \times 5 = 25$
6) $10^3 = 10 \times 10 \times 10 = 1000$
7) $12^2 = 12 \times 12 = 144$
8) $8^3 = 8 \times 8 \times 8 = 512$
9) $7^2 = 7 \times 7 = 49$
10) $4^3 = 4 \times 4 \times 4 = 64$

Part B: Square Roots
To solve these, find the number that, when multiplied by itself, equals the number inside the symbol.

11) $\sqrt{16} = 4$ (Because $4 \times 4 = 16$) (Already done)
12) $\sqrt{25} = 5$ (Because $5 \times 5 = 25$)
13) $\sqrt{100} = 10$ (Because $10 \times 10 = 100$)
14) $\sqrt{81} = 9$ (Because $9 \times 9 = 81$)
15) $\sqrt{144} = 12$ (Because $12 \times 12 = 144$)
16) $\sqrt{1600} = 40$ (Because $40 \times 40 = 1600$)
17) $\sqrt{8100} = 90$ (Because $90 \times 90 = 8100$)
18) $\sqrt{49} = 7$ (Because $7 \times 7 = 49$)
19) $\sqrt{121} = 11$ (Because $11 \times 11 = 121$)
20) $\sqrt{64} = 8$ (Because $8 \times 8 = 64$)

Part C: Cube Roots
To solve these, find the number that, when multiplied by itself three times, equals the number inside the symbol.

21) $\sqrt[3]{8} = 2$ (Because $2 \times 2 \times 2 = 8$)
22) $\sqrt[3]{27} = 3$ (Because $3 \times 3 \times 3 = 27$)
23) $\sqrt[3]{125} = 5$ (Because $5 \times 5 \times 5 = 125$)
24) $\sqrt[3]{1000} = 10$ (Because $10 \times 10 \times 10 = 1000$)
25) $\sqrt[3]{512} = 8$ (Because $8 \times 8 \times 8 = 512$)
26) $\sqrt[3]{125} = 5$ (Because $5 \times 5 \times 5 = 125$)
27) $\sqrt[3]{64} = 4$ (Because $4 \times 4 \times 4 = 64$)
28) $\sqrt[3]{343} = 7$ (Because $7 \times 7 \times 7 = 343$)
29) $\sqrt[3]{729} = 9$ (Because $9 \times 9 \times 9 = 729$)
30) $\sqrt[3]{216} = 6$ (Because $6 \times 6 \times 6 = 216$)

Final Answer:
A.
2) 16
3) 9
4) 64
5) 25
6) 1000
7) 144
8) 512
9) 49
10) 64

B.
12) 5
13) 10
14) 9
15) 12
16) 40
17) 90
18) 7
19) 11
20) 8

C.
21) 2
22) 3
23) 5
24) 10
25) 8
26) 5
27) 4
28) 7
29) 9
30) 6