Question

hi guys......
any guess... try pls

Answer 1

Hey mate here is your answer

Answer 2

Answer:

441

Step-by-step explanation:

I replace the '?' with x,

According to your Question,

$\sqrt{\frac{x}{324} }  = \frac{7}{6}$

To remove square root, I squared both the sides,.

$(\sqrt{\frac{x}{324} })^2 = (\frac{7}{6} )^2$      (Square & square root gets cancelled on Left-Hand-Side)

⇒ $\frac{x}{324} = (\frac{7}{6})(\frac{7}{6} )$

⇒ $\frac{x}{324} = \frac{49}{36}$

Moving 324 from Left-Hand-Side,. 324, Which is in denominator, moves to numerator.,

⇒ $x = 324( \frac{49}{36})$

By prime factorization 324 = 2 x 2 x 3 x 3 x 3 x 3 = 36 x 9,.

So,

$x = (\frac{49}{36})(36)(9)$     (36 gets cancelled)

⇒ x = 49 x 9 = 441,.

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