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Popular >

simplify 3(sqrt(2))^3

Solution

simplify

3 (2)^{3}

Solution

62

+1

Decimal

8.48528 \dots

Solution steps

3 (2)^{3}

Apply exponent rule:

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

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

= 3 (2)^{2} 2

Apply exponent rule:

(n a)^{n} = a, n i s o dd or a \geq 0

(2)^{2} = 2

= 3 \cdot 22

Multiply the numbers:

3 \cdot 2 = 6

= 62

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Frequently Asked Questions (FAQ)

What is 3(sqrt(2))^3 ?
The solution to 3(sqrt(2))^3 is 6sqrt(2)