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Popular >

simplify sqrt(5^26^23^4)

Solution

simplify

5^{2} \cdot 6^{2} \cdot 3^{4}

Solution

270

Solution steps

5^{2} \cdot 6^{2} \cdot 3^{4}

5^{2} \cdot 6^{2} \cdot 3^{4} = 5^{2} 6^{2} 3^{4}

= 5^{2} 6^{2} 3^{4}

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 5 6^{2} 3^{4}

Apply radical rule:

a^{2} = a, a \geq 0

6^{2} = 6

= 5 \cdot 6 3^{4}

3^{4} = 9

= 5 \cdot 6 \cdot 9

Multiply the numbers:

5 \cdot 6 \cdot 9 = 270

= 270

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Frequently Asked Questions (FAQ)

What is sqrt(5^2*6^2*3^4) ?
The solution to sqrt(5^2*6^2*3^4) is 270