What is sqrt(8ab^5)sqrt(27a^7b) ?

The solution to sqrt(8ab^5)sqrt(27a^7b) is 6sqrt(6)a^4b^3

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simplify sqrt(8ab^5)sqrt(27a^7b)

simplify

8 a b^{5} 27 a^{7} b

66 a^{4} b^{3}

Solution steps

8 a b^{5} 27 a^{7} b

Simplify

8 a b^{5} : 22 a b^{2} b

= 22 a b^{2} b 27 a^{7} b

Simplify

27 a^{7} b : 33 a^{3} a b

= 22 a b^{2} b \cdot 33 a^{3} a b

Apply radical rule:

a a = a,

assuming

a \geq 0

a a = a

= 22 a b^{2} b \cdot 33 a^{3} b

Apply radical rule:

a a = a,

assuming

a \geq 0

b b = b

= 22 a b^{2} b \cdot 33 a^{3}

23 = 6

= 26 a b^{2} b \cdot 3 a^{3}

Multiply the numbers:

2 \cdot 3 = 6

= 66 a b^{2} b a^{3}

Simplify

a a^{3} : a^{4}

= 66 a^{4} b^{2} b

Simplify

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

= 66 a^{4} b^{3}

\frac{1}{4} - \frac{1}{25}

0.0256

3 x 50 x^{2} y

\frac{3 x ^{2} - 12 x - 36}{( x + 2 )}

- lo g_{10} (0.001)

What is sqrt(8ab^5)sqrt(27a^7b) ?
The solution to sqrt(8ab^5)sqrt(27a^7b) is 6sqrt(6)a^4b^3