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Popular >

simplify sqrt(6*\sqrt{3)}

Solution

simplify

6 \cdot 3

Solution

+1

Decimal Notation

3.22370 \dots

Solution steps

63

Apply radical rule:

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

63 = 63

= 63

Factor integer

6 = 3 \cdot 2

Apply radical rule:

3 \cdot 2 = 32

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

= 2 \cdot 3^{\frac{1}{2} + \frac{1}{4}}

3^{\frac{1}{2} + \frac{1}{4}} = 3^{\frac{3}{4}}

= 2 \cdot 3^{\frac{3}{4}}

= 3^{\frac{3}{4}} 2

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Frequently Asked Questions (FAQ)

What is sqrt(6*\sqrt{3)} ?
The solution to sqrt(6*\sqrt{3)} is \sqrt[4]{3^3}sqrt(2)