Question

if x=root 7 by 5 and 5 by x = p by root 7 find p

Answer 1

H...☺

Here is your answer...✌

Given that,

$x = \frac{ \sqrt{7} }{5} \: \: \: \: \: \: \: \: .....(1) \\ \\ And \\ \\ \frac{5}{x} = \frac{p}{ \sqrt{7} } \\ \\ \implies p = \frac{5}{x} \times \sqrt{7} \\ \\ \implies p = \frac{5 \sqrt{7} }{ \frac{ \sqrt{7} }{5} } \: \: \: \: \: \: \: \: \: [\: from \: (1) \: ]\\ \\ \implies p = \frac{5 \sqrt{7} \times 5}{ \sqrt{7} } \\ \\ \implies p =5 \times 5 \\ \\ \implies p =25$

Answer 2

if , x = √7/5 then ,

5/x = p/√7

5/√7/5 = p/√7

5×5/√7 = p/√7

25/√7 = p/√7

(cancel √7 from both side)

25 = p

value of p is 25