What is factor sqrt(2*\sqrt{32)} ?

The solution to factor sqrt(2*\sqrt{32)} is 2*2^{3/4}

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factor sqrt(2*\sqrt{32)}

factor

2 \cdot 32

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

Solution steps

232

32 = 42

= 2 \cdot 42

Multiply the numbers:

2 \cdot 4 = 8

= 82

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 82

8 = 22

= 222

Apply exponent rule:

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

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

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

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

z^{2} + (3 - i) z - 3 i

2 e^{10} - 2 e^{2}

A (3.2)

A (3.5)

\frac{27 x ^{3} - 8}{27}

What is factor sqrt(2*\sqrt{32)} ?
The solution to factor sqrt(2*\sqrt{32)} is 2*2^{3/4}