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Popular >

simplify (2a*sqrt(3))^2

Solution

simplify

(2 a \cdot 3)^{2}

Solution

12 a^{2}

Solution steps

(2 a 3)^{2}

Apply exponent rule:

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

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

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

2^{2} = 4

= 4 a^{2} (3)^{2}

(3)^{2} = 3

= 4 \cdot 3 a^{2}

Multiply the numbers:

4 \cdot 3 = 12

= 12 a^{2}

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Frequently Asked Questions (FAQ)

What is (2a*sqrt(3))^2 ?
The solution to (2a*sqrt(3))^2 is 12a^2