What is sqrt(20x^7y^3)*sqrt(15xy^6) ?

The solution to sqrt(20x^7y^3)*sqrt(15xy^6) is 10sqrt(3)x^4y^4sqrt(y)

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simplify sqrt(20x^7y^3)*sqrt(15xy^6)

simplify

20 x^{7} y^{3} \cdot 15 x y^{6}

103 x^{4} y^{4} y

Solution steps

20 x^{7} y^{3} 15 x y^{6}

Simplify

20 x^{7} y^{3} : 25 x^{3} x y y

= 25 x^{3} x y y 15 x y^{6}

Simplify

15 x y^{6} : 15 x y^{3}

= 25 x^{3} x y y 15 x y^{3}

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= 25 x^{3} x y y 15 y^{3}

15 = 53

= 25 x^{3} x y y 53 y^{3}

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 2 \cdot 5 x^{3} x y y 3 y^{3}

Multiply the numbers:

2 \cdot 5 = 10

= 10 x^{3} x y y 3 y^{3}

Simplify

x^{3} x : x^{4}

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

Simplify

y y^{3} : y^{4}

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

= 103 x^{4} y^{4} y

\frac{1}{9} x^{2} - 9 = 0

10 y^{2} + 27 y + 5

5 y - 10 = 10

\frac{- 125 + 5}{6 - 4}

x^{2} = 10 x - 16

What is sqrt(20x^7y^3)*sqrt(15xy^6) ?
The solution to sqrt(20x^7y^3)*sqrt(15xy^6) is 10sqrt(3)x^4y^4sqrt(y)