What is sqrt(5x^8y^2)*sqrt(10x^3)*sqrt(12y) ?

The solution to sqrt(5x^8y^2)*sqrt(10x^3)*sqrt(12y) is 10sqrt(6)x^5ysqrt(x)sqrt(y)

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simplify sqrt(5x^8y^2)sqrt(10x^3)sqrt(12y)

simplify

5 x^{8} y^{2} \cdot 10 x^{3} \cdot 12 y

106 x^{5} y x y

Solution steps

5 x^{8} y^{2} 10 x^{3} 12 y

Simplify

5 x^{8} y^{2} : 5 x^{4} y

= 5 x^{4} y 10 x^{3} 12 y

Simplify

10 x^{3} : 10 x x

= 5 x^{4} y 10 x x 12 y

Simplify

12 y : 23 y

= 5 x^{4} y 10 x x \cdot 23 y

10 = 52

= 5 x^{4} y 52 x x \cdot 23 y

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 5 x^{4} y 2 x x \cdot 23 y

23 = 6

= 5 x^{4} y 6 x x \cdot 2 y

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{4} y 6 x x y

Simplify

x^{4} x : x^{5}

= 10 x^{5} y 6 x y

= 106 x^{5} y x y

- 8 x < 7 - 4 x < 9 + 4 x

0 = 2 (x - 3)^{2} - 4

\frac{7 + 6 i}{6 + i}

4^{\frac{1}{3}} \cdot 1 6^{\frac{1}{3}}

5 x^{2} - 40 x

What is sqrt(5x^8y^2)*sqrt(10x^3)*sqrt(12y) ?
The solution to sqrt(5x^8y^2)*sqrt(10x^3)*sqrt(12y) is 10sqrt(6)x^5ysqrt(x)sqrt(y)