What is sqrt(12x)*sqrt(12x^5) ?

The solution to sqrt(12x)*sqrt(12x^5) is 12x^3

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simplify sqrt(12x)*sqrt(12x^5)

simplify

12 x \cdot 12 x^{5}

12 x^{3}

Solution steps

12 x 12 x^{5}

Simplify

12 x : 23 x

= 23 x 12 x^{5}

Simplify

12 x^{5} : 23 x^{2} x

= 23 x \cdot 23 x^{2} x

Apply radical rule:

a a = a, a \geq 0

33 = 3

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

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

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

Multiply the numbers:

2 \cdot 3 \cdot 2 = 12

= 12 x x^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{2} = x^{1 + 2}

= 12 x^{1 + 2}

Add the numbers:

1 + 2 = 3

= 12 x^{3}

\frac{1}{6} + \frac{8}{15}

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(5^{3})^{2} 5^{- 2} - 5^{3} 5

143 + 305 \cdot 70 W or l d