What is 2sqrt(32a^3b^5)*sqrt(8a^7b^2) ?

The solution to 2sqrt(32a^3b^5)*sqrt(8a^7b^2) is 32a^5b^3sqrt(b)

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simplify 2sqrt(32a^3b^5)*sqrt(8a^7b^2)

simplify

2 32 a^{3} b^{5} \cdot 8 a^{7} b^{2}

32 a^{5} b^{3} b

Solution steps

2 32 a^{3} b^{5} 8 a^{7} b^{2}

Simplify

32 a^{3} b^{5} : 42 a a b^{2} b

= 2 \cdot 42 a a b^{2} b 8 a^{7} b^{2}

Simplify

8 a^{7} b^{2} : 22 a^{3} a b

= 2 \cdot 42 a a b^{2} b \cdot 22 a^{3} a b

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 \cdot 4 \cdot 2 a a b^{2} b \cdot 2 a^{3} a b

Apply radical rule:

a a = a,

assuming

a \geq 0

a a = a

= 2 \cdot 4 \cdot 2 aa b^{2} b \cdot 2 a^{3} b

Multiply the numbers:

2 \cdot 4 \cdot 2 \cdot 2 = 32

= 32 aa b^{2} b a^{3} b

Simplify

aa a^{3} : a^{5}

= 32 a^{5} b^{2} b b

Simplify

b^{2} b : b^{3}

= 32 a^{5} b^{3} b

- 7 \cdot 8

x - 7 < 3 x + 5 \leq 2 x + 11

(5 - 2) (5 + 2)

\frac{1}{8} - 1

(- a^{9} b)^{4}

What is 2sqrt(32a^3b^5)*sqrt(8a^7b^2) ?
The solution to 2sqrt(32a^3b^5)*sqrt(8a^7b^2) is 32a^5b^3sqrt(b)