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Popular >

simplify sqrt(7^2*2^8)

Solution

simplify

7^{2} \cdot 2^{8}

Solution

112

Solution steps

7^{2} \cdot 2^{8}

Apply radical rule:

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

7^{2} \cdot 2^{8} = 7^{2} 2^{8}

= 7^{2} 2^{8}

Apply radical rule:

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

7^{2} = 7

= 7 2^{8}

2^{8} = 16

= 7 \cdot 16

Multiply the numbers:

7 \cdot 16 = 112

= 112

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Frequently Asked Questions (FAQ)

What is sqrt(7^2*2^8) ?
The solution to sqrt(7^2*2^8) is 112