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Popular >

simplify sqrt(3^6*5^4)

Solution

simplify

3^{6} \cdot 5^{4}

Solution

675

Solution steps

3^{6} \cdot 5^{4}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

3^{6} \cdot 5^{4} = 3^{6} 5^{4}

= 3^{6} 5^{4}

3^{6} = 27

= 27 5^{4}

5^{4} = 25

= 27 \cdot 25

Multiply the numbers:

27 \cdot 25 = 675

= 675

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Frequently Asked Questions (FAQ)

What is sqrt(3^6*5^4) ?
The solution to sqrt(3^6*5^4) is 675