What is sqrt(48x^2)*sqrt(6x^5) ?

The solution to sqrt(48x^2)*sqrt(6x^5) is 12sqrt(2)x^3sqrt(x)

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simplify sqrt(48x^2)*sqrt(6x^5)

simplify

48 x^{2} \cdot 6 x^{5}

122 x^{3} x

Solution steps

48 x^{2} 6 x^{5}

Simplify

48 x^{2} : 43 x

= 43 x 6 x^{5}

Simplify

6 x^{5} : 6 x^{2} x

= 43 x 6 x^{2} x

6 = 32

= 43 x 32 x^{2} x

Apply radical rule:

a a = a, a \geq 0

33 = 3

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

Multiply the numbers:

4 \cdot 3 = 12

= 12 x 2 x^{2} x

Simplify

x x^{2} : x^{3}

= 12 x^{3} 2 x

= 122 x^{3} x

ln (e^{\frac{x}{2}})

\frac{4 ^{5}}{4 ^{5}}

(x - \frac{1}{2}) (6 x + 2)

2 ((x - 1)^{2} + 2)

\frac{1 - cos ^{2} ( θ )}{cos ^{2} ( θ )}

What is sqrt(48x^2)*sqrt(6x^5) ?
The solution to sqrt(48x^2)*sqrt(6x^5) is 12sqrt(2)x^3sqrt(x)