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Popular >

simplify sqrt(2^2\times 3^2)

Solution

simplify

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

Solution

6

Solution steps

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

Apply radical rule:

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

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

= 2^{2} 3^{2}

Apply radical rule:

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

2^{2} = 2

= 2 3^{2}

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

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Frequently Asked Questions (FAQ)

What is sqrt(2^2\times 3^2) ?
The solution to sqrt(2^2\times 3^2) is 6