What is sqrt(2\times \sqrt{2)} ?

The solution to sqrt(2\times \sqrt{2)} is \sqrt[4]{2^3}

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simplify sqrt(2\times \sqrt{2)}

simplify

2 \cdot 2

Decimal Notation

1.68179 \dots

Solution steps

22

Apply radical rule:

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

22 = 22

= 22

Apply radical rule:

a = a^{\frac{1}{2}}

2 = 2^{\frac{1}{2}}

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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

\frac{1}{2} \times 0

(5 x^{2} + 7 x - 10) - (3 x^{2} - 3 x + 1)

1.00 8^{4}

\frac{56}{8}

\frac{14}{7}

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