What is sqrt(5x^2)*sqrt(40x) ?

The solution to sqrt(5x^2)*sqrt(40x) is 10sqrt(2)xsqrt(x)

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simplify sqrt(5x^2)*sqrt(40x)

simplify

5 x^{2} \cdot 40 x

102 x x

Solution steps

5 x^{2} 40 x

Simplify

5 x^{2} : 5 x

= 5 x 40 x

Simplify

40 x : 210 x

= 5 x \cdot 210 x

10 = 52

= 5 x \cdot 252 x

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 5 x \cdot 22 x

Multiply the numbers:

5 \cdot 2 = 10

= 10 x 2 x

= 102 x x

\frac{3 + 9}{2}

\frac{x ^{2} - 6 x - 16}{x + 2}

\frac{36}{21}

\frac{36}{32}

(- 6 s^{2} + 12 s - 8) - (3 s^{2} + 8 s - 6)

What is sqrt(5x^2)*sqrt(40x) ?
The solution to sqrt(5x^2)*sqrt(40x) is 10sqrt(2)xsqrt(x)