Question

If the square root of 196/x * 900/x = 4 then x is equal to

Answer 1

Heya mate here is your solution...


$\sqrt{ \frac{196}{x} \times \frac{900}{x} } = 4 \\ \frac{14}{ \sqrt{x} } \times \frac{30}{ \sqrt{x} } = 4 \\ \frac{14 \times 30}{x} = 4 \\ x = \frac{14 \times 30}{4} = \frac{420}{4} = 105$
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Answer 2

Hello!
Here is your answer

$\sqrt{196 \div x \times 900 \div x} = 4$
$\sqrt{x} \times \sqrt{y} = \sqrt{xy}$
$\sqrt{ \frac{196}{x} } \times \sqrt{ \frac{900}{x} } = 4$
$\sqrt{ \frac{14 {}^{2} }{x} } \times \sqrt{ \frac{30 {}^{2} }{x} } = 4$
$\frac{14}{ \sqrt{x} } \times \frac{30}{ \sqrt{x} } = 4$
$\frac{420}{x} = 4$
$x = 420 \div 4$
$x = 105$