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

The solution to sqrt(x^7y^7)*3sqrt(5x^3y^2) is 3sqrt(5)x^5y^4sqrt(y)

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

simplify

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

35 x^{5} y^{4} y

Solution steps

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

Simplify

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

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

Simplify

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

= x^{3} x y^{3} y \cdot 35 x x y

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= x^{3} x y^{3} y \cdot 35 x y

Simplify

x^{3} xx : x^{5}

= x^{5} y^{3} y \cdot 35 y

Simplify

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

= x^{5} y^{4} y \cdot 35

= 35 x^{5} y^{4} y

\frac{x}{5} + 4 = \frac{x}{3}

x^{2} + 8 = 188

55

(27 a^{- 9})^{- \frac{2}{3}}

4 x^{2} - 4 x - 11 \leq - 8

What is sqrt(x^7y^7)*3sqrt(5x^3y^2) ?
The solution to sqrt(x^7y^7)*3sqrt(5x^3y^2) is 3sqrt(5)x^5y^4sqrt(y)