What is sqrt(15x^2)*sqrt(10x^3) ?

The solution to sqrt(15x^2)*sqrt(10x^3) is 5sqrt(6)x^2sqrt(x)

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simplify sqrt(15x^2)*sqrt(10x^3)

simplify

15 x^{2} \cdot 10 x^{3}

56 x^{2} x

Solution steps

15 x^{2} 10 x^{3}

Simplify

15 x^{2} : 15 x

= 15 x 10 x^{3}

Simplify

10 x^{3} : 10 x x

= 15 x 10 x x

15 = 53

= 53 x 10 x x

10 = 52

= 53 x 52 x x

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 53 x 2 x x

32 = 6

= 56 xx x

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= 56 x^{2} x

(5 a^{3})^{2}

0.9 5^{5}

4 (12)

396

- 6 i + 3 i

What is sqrt(15x^2)*sqrt(10x^3) ?
The solution to sqrt(15x^2)*sqrt(10x^3) is 5sqrt(6)x^2sqrt(x)