Question

answer is 1575 but give me steps written on notebook ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$x$ = 1575 is correct.

Step-by-step explanation:

$\sqrt{\frac{196}{7} }$ × $\sqrt{\frac{900}{ x} }$ = 4

Firstly, solve $\sqrt{\frac{196}{7} }$ .

$\sqrt{\frac{196}{7} }$ = 2√ 7

So, in other words, it is 2√ 7 × $\sqrt{\frac{900}{ x} }$ = 4

Move all the numbers to the RIGHT.

2√ 7 ( ÷ 2√ 7 ) × $\sqrt{\frac{900}{ x} }$ = 4

$\sqrt{\frac{900}{ x} }$  = 4 ÷ 2√ 7

Now get rid of the square root.

How to get rid of the square root?

Square the square root.

$(\sqrt{\frac{900}{ x} } )^{2}$ = ( 4 ÷ 2√ 7 $)^{2}$

$\frac{900}{x}$ =  ( 4 ÷ 2√ 7 $)^{2}$

$\frac{900}{x}$ =  ( 4 ÷ 2√ 7 $)^{2}$

$\frac{900}{x}$ =  $\frac{2\sqrt{7} }{7} ^{2}$

$\frac{900}{x}$ = $\frac{4}{7}$

$\frac{900}{x}$ ( × $x$ ) = $\frac{4}{7}$ ( × $x$ )

900 = $\frac{4}{7}$ × $x$

900 =$\frac{4}{7} x$

900 ( × 7 ) =$\frac{4}{7} x$ ( × 7 )

6300 = 4$x$

$\frac{6300}{4}$  = $\frac{4x}{4}$

1575 = $x$

So, the answer $x$ = 1575 is proven to be correct!

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