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Popular >

simplify sqrt(6*\sqrt{2)}

Solution

simplify

6 \cdot 2

Solution

+1

Decimal Notation

2.91295 \dots

Solution steps

62

Apply radical rule:

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

62 = 62

= 62

Factor integer

6 = 2 \cdot 3

Apply radical rule:

2 \cdot 3 = 23

Apply exponent rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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