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

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

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simplify sqrt(6y^5w^6)sqrt(3y^7*w^5)

simplify

6 y^{5} \cdot w^{6} \cdot 3 y^{7} \cdot w^{5}

32 y^{6} w^{5} w

Solution steps

6 y^{5} w^{6} 3 y^{7} w^{5}

Simplify

6 y^{5} w^{6} : 6 y^{2} y w^{3}

= 6 y^{2} y w^{3} 3 y^{7} w^{5}

Simplify

3 y^{7} w^{5} : 3 y^{3} y w^{2} w

= 6 y^{2} y w^{3} 3 y^{3} y w^{2} w

Apply radical rule:

a a = a,

assuming

a \geq 0

y y = y

= 6 y^{2} y w^{3} 3 y^{3} w^{2} w

6 = 32

= 32 y^{2} y w^{3} 3 y^{3} w^{2} w

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 32 y^{2} y w^{3} y^{3} w^{2} w

Simplify

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

= 32 y^{6} w^{3} w^{2} w

Simplify

w^{3} w^{2} : w^{5}

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

\frac{3 ^{x} + 3 ^{- x} - 2}{x ^{2}}

169 m^{12} - 100 n^{6}

(3 x^{2} + 7 x^{4}) \cdot (5 x^{1} - 7 + 8 x^{4} + 9)

(10 - 2 x)^{3}

729 + (x - 2)^{3}

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