Question

if square root 196/x* square root 900/x=4find the value of x​

Answer 1

Answer:

Step-by-step explanation:

Heya mate here is your solution...

\sqrt{ \frac{196}{x} \times \frac{900}{x} } = 4 \\ \frac{14}{ \sqrt{x} } \times \frac{30}{ \sqrt{x} } = 4 \\ \frac{14 \times 30}{x} = 4 \\ x = \frac{14 \times 30}{4} = \frac{420}{4} = 105

Hope you will understand........

If so please mark it as brainliest......

Answer 2

ANSWER:

Value of x = 105

GIVEN:

$\sqrt{ \frac{196}{x} } \times \sqrt{ \frac{900}{x} } = 4$

TO FIND:

The value of x.

EXPLANATION:

$\sqrt{ \frac{196}{x} } \times \sqrt{ \frac{900}{x} } = 4 \\ \\ \sqrt{ \frac{14 \times 14 \times 30 \times 30}{ {x}^{2} } } = 4 \\ \\ \frac{14 \times 30}{x} = 4 \\ \\ x = \frac{14 \times 30}{4} \\ \\ x = \frac{7 \times 30}{2} \\ \\ x = 7 \times 15 \\ \\ x = 105$

HENCE THE VALUE OF x IS 105.