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Popular >

simplify (sqrt(8))^3

Solution

simplify

(8)^{3}

Solution

162

+1

Decimal Notation

22.62741 \dots

Solution steps

(8)^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(8)^{2 + 1} = (8)^{2} 8

= (8)^{2} 8

Apply exponent rule:

(8)^{2} = 8

= 88

Prime factorization of

8 : 2^{3}

= 8 2^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} = 2^{2} \cdot 2

= 8 2^{2} \cdot 2

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 2 = 2^{2} 2

= 8 2^{2} 2

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 8 \cdot 22

Multiply the numbers:

8 \cdot 2 = 16

= 162

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Frequently Asked Questions (FAQ)

What is (sqrt(8))^3 ?
The solution to (sqrt(8))^3 is 16sqrt(2)