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

The solution to sqrt(2x*\sqrt{32)} is 2\sqrt[4]{2^3}sqrt(x)

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simplify sqrt(2x*\sqrt{32)}

simplify

2 x \cdot 32

Solution steps

2 x 32

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

2 x 32 = 2 x 32

= 2 x 32

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x 32 = x 32

= 2 x 32

Apply radical rule:

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

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

Apply radical rule:

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

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

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

2^{\frac{3}{4}} \cdot 2 = 2^{\frac{7}{4}}

= 2^{\frac{7}{4}} x

2^{\frac{7}{4}} = 2 \cdot 2^{\frac{3}{4}}

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

\frac{1}{( x ^{2} + y ^{2} )}

sin^{2} (x) + cos^{2} (x) + 3

4 x^{3} - 4 x + 10

\frac{36 x ^{4} \cdot y ^{3} \cdot z ^{2}}{9 \cdot x ^{2} \cdot y ^{3} \cdot z ^{4}}

- 3 a^{3} + a^{2} - 6 + 4 a^{3}

What is sqrt(2x*\sqrt{32)} ?
The solution to sqrt(2x*\sqrt{32)} is 2\sqrt[4]{2^3}sqrt(x)