What is sqrt(x^5y^5)*3sqrt(2x^7y^6) ?

The solution to sqrt(x^5y^5)*3sqrt(2x^7y^6) is 3sqrt(2)x^6y^5sqrt(y)

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simplify sqrt(x^5y^5)*3sqrt(2x^7y^6)

simplify

x^{5} y^{5} \cdot 3 2 x^{7} y^{6}

32 x^{6} y^{5} y

Solution steps

x^{5} y^{5} \cdot 3 2 x^{7} y^{6}

Simplify

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

= x^{2} x y^{2} y \cdot 3 2 x^{7} y^{6}

Simplify

2 x^{7} y^{6} : 2 x^{3} x y^{3}

= x^{2} x y^{2} y \cdot 32 x^{3} x y^{3}

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= x^{2} x y^{2} y \cdot 32 x^{3} y^{3}

Simplify

x^{2} x x^{3} : x^{6}

= x^{6} y^{2} y \cdot 32 y^{3}

Simplify

y^{2} y^{3} : y^{5}

= x^{6} y^{5} y \cdot 32

= 32 x^{6} y^{5} y

2 (\frac{3}{2})

45 - z \leq 49

1^{\frac{3}{5}}

21 x + 6 = 17 x - 26

8 x^{2} + 7 = x^{2} - 8 x + 8

What is sqrt(x^5y^5)*3sqrt(2x^7y^6) ?
The solution to sqrt(x^5y^5)*3sqrt(2x^7y^6) is 3sqrt(2)x^6y^5sqrt(y)