Question

8/√x=72/108 Find the value of x.

Answer 1

solutions:-
√x=8×108/72
√x=12
x=3.4648...=~3.47

Answer 2

Heya mate! Here is your answer ✌☺☺





$\dfrac{8}{\sqrt{x}} = \dfrac{72}{108}$

Cross - multiply,

➾ 108 × 8 = 72 × √x

➾ 864 = 74√x

Divide both sides by 72,

➾ 12 = √x

Switch the sides,

➾ √x = 12

To get the value of x, multiply 12 by 12 to remove the root sign from x,

➾ x = 12 × 12

➾ x = 144




∴ The number is 144




Verification :-

$\dfrac{8}{\sqrt{x}} = \dfrac{72}{108}$

➾ $\dfrac{8}{\sqrt{144}} = \dfrac{72}{108}$

➾ $\dfrac{8}{12} = \dfrac{72}{108}$

Divide $\dfrac{8}{12}$ by 2 and $\dfrac{72}{108}$ by 36

➾ $\dfrac{2}{3} = \dfrac{2}{3}$

∴ LHS = RHS ✔✔