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Popular >

simplify sqrt(2^8*3^2)

Solution

simplify

2^{8} \cdot 3^{2}

Solution

48

Solution steps

2^{8} \cdot 3^{2}

Apply radical rule:

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

2^{8} \cdot 3^{2} = 2^{8} 3^{2}

= 2^{8} 3^{2}

2^{8} = 16

= 16 3^{2}

Apply radical rule:

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

3^{2} = 3

= 16 \cdot 3

Multiply the numbers:

16 \cdot 3 = 48

= 48

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Frequently Asked Questions (FAQ)

What is sqrt(2^8*3^2) ?
The solution to sqrt(2^8*3^2) is 48