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Popular >

simplify (3sqrt(12))^2

Solution

simplify

(312)^{2}

Solution

108

Solution steps

(312)^{2}

Apply exponent rule:

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

(312)^{2} = 3^{2} (12)^{2}

= 3^{2} (12)^{2}

3^{2} = 9

= 9 (12)^{2}

12 = 23

= 9 (23)^{2}

Apply exponent rule:

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

(23)^{2} = 2^{2} (3)^{2}

= 9 \cdot 2^{2} (3)^{2}

2^{2} = 4

= 9 \cdot 4 (3)^{2}

4 (3)^{2} = 12

= 9 \cdot 12

Multiply the numbers:

9 \cdot 12 = 108

= 108

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Frequently Asked Questions (FAQ)

What is (3sqrt(12))^2 ?
The solution to (3sqrt(12))^2 is 108