19. Divide :
125x5 by 5√5 x3
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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}
125x
÷5x=
x
5
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}
125x
2
÷5x
2
=
5x
2
125x
2
Factories the expression,
\sqrt{125x}\div 5x=\frac{\sqrt{5\times 5\times 5\times x^2}}{5x^2}
125x
÷5x=
5x
2
5×5×5×x
2
\sqrt{125x}\div 5x=\frac{5x\sqrt{5}}{5x^2}
125x
÷5x=
5x
2
5x
5
\sqrt{125x}\div 5x=\frac{\sqrt{5}}{x}
125x
÷5x=
x
5
Therefore, under root 125 x square by 5 x square is under root 5 by x.
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