What is sqrt((2x)^2\sqrt{2y)} ?

The solution to sqrt((2x)^2\sqrt{2y)} is 2xsqrt(\sqrt{2)sqrt(y)}

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simplify sqrt((2x)^2\sqrt{2y)}

simplify

(2 x)^{2} 2 y

2 x 2 y

Solution steps

(2 x)^{2} 2 y

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

(2 x)^{2} 2 y = (2 x)^{2} 2 y

= (2 x)^{2} 2 y

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

(2 x)^{2} = 2 x

= 2 x 2 y

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 2 x 2 y

d^{2} - 6 d - 7

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

6 x^{2} - 5 x - 21 = 0

\frac{3 n - 7}{6} = \frac{2 n + 5}{3}

x^{2} + 1.1 x - 0.3 = 0

What is sqrt((2x)^2\sqrt{2y)} ?
The solution to sqrt((2x)^2\sqrt{2y)} is 2xsqrt(\sqrt{2)sqrt(y)}