Question

What is the value of x if x/√500=√20/x

Answer 1

Step-by-step explanation:

x/$\sqrt{500}$ = $\sqrt{20}$/x

⇒ x*x = $\sqrt{500} * \sqrt{20}$    (Cross Multiplication)

⇒ $x^{2}$ =  $\sqrt{5*5*5*2*2*2*2*5}$

⇒ $x^{2} = 5*5*2*2$

⇒ $x = \sqrt{5*5*2*2}$

⇒ x = 5*2

⇒ x = 10 (Ans)