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Popular >

simplify (-2*sqrt(18))^2

Solution

simplify

(- 2 \cdot 18)^{2}

Solution

72

Solution steps

(- 218)^{2}

Apply exponent rule:

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

if

n

is even

(- 218)^{2} = (218)^{2}

= (218)^{2}

Apply exponent rule:

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

(218)^{2} = 2^{2} (18)^{2}

= 2^{2} (18)^{2}

2^{2} = 4

= 4 (18)^{2}

18 = 2 \cdot 3

= 4 (2 \cdot 3)^{2}

Apply exponent rule:

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

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

= 4 (2)^{2} \cdot 3^{2}

3^{2} = 9

= 4 (2)^{2} \cdot 9

(2)^{2} \cdot 9 = 18

= 4 \cdot 18

Multiply the numbers:

4 \cdot 18 = 72

= 72

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Frequently Asked Questions (FAQ)

What is (-2*sqrt(18))^2 ?
The solution to (-2*sqrt(18))^2 is 72