Question

Divide under root 125 x square by 5 x square

Answer 1

Answer:

Step-by-step explanation:

Root 125x^2/5x

= 5( root5)x/ 5x

= root 5

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Answer 2

Under root 125 x square by 5 x square is under root 5 by x i.e. $\sqrt{125x}\div 5x=\frac{\sqrt{5}}{x}$

Step-by-step explanation:

Given : Expression under root 125 x square by 5 x square.

To find : Divide the expression ?

Solution :

Write the expression as, $\sqrt{125x^2}\div 5x^2=\frac{\sqrt{125x^2}}{5x^2}$

Factories the expression,

$\sqrt{125x}\div 5x=\frac{\sqrt{5\times 5\times 5\times x^2}}{5x^2}$

$\sqrt{125x}\div 5x=\frac{5x\sqrt{5}}{5x^2}$

$\sqrt{125x}\div 5x=\frac{\sqrt{5}}{x}$

Therefore, under root 125 x square by 5 x square is under root 5 by x.

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