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Popular >

simplify (-3sqrt(2))^2

Solution

simplify

(- 32)^{2}

Solution

18

Solution steps

(- 32)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 32)^{2} = (32)^{2}

= (32)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(32)^{2} = 3^{2} (2)^{2}

= 3^{2} (2)^{2}

3^{2} = 9

= 9 (2)^{2}

(2)^{2} = 2

= 9 \cdot 2

Multiply the numbers:

9 \cdot 2 = 18

= 18

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Frequently Asked Questions (FAQ)

What is (-3sqrt(2))^2 ?
The solution to (-3sqrt(2))^2 is 18