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Popular >

simplify (3*sqrt(5))^2

Solution

simplify

(3 \cdot 5)^{2}

Solution

45

Solution steps

(35)^{2}

Apply exponent rule:

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

(35)^{2} = 3^{2} (5)^{2}

= 3^{2} (5)^{2}

3^{2} = 9

= 9 (5)^{2}

(5)^{2} = 5

= 9 \cdot 5

Multiply the numbers:

9 \cdot 5 = 45

= 45

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Frequently Asked Questions (FAQ)

What is (3*sqrt(5))^2 ?
The solution to (3*sqrt(5))^2 is 45