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Popular >

simplify sqrt(36*\sqrt{16)}

Solution

simplify

36 \cdot 16

Solution

12

Solution steps

3616

Apply radical rule:

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

3616 = 3616

= 3616

36 = 6

= 616

16 = 4

= 64

Factor the number:

4 = 2^{2}

= 6 2^{2}

Apply radical rule:

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

2^{2} = 2

= 6 \cdot 2

Multiply the numbers:

6 \cdot 2 = 12

= 12

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Frequently Asked Questions (FAQ)

What is sqrt(36*\sqrt{16)} ?
The solution to sqrt(36*\sqrt{16)} is 12