Question

if X=√7/5 and 5/X =p√7 then what will be the value of p ?​

Answer 1

Step-by-step explanation:

The value of p in the given expression is 25/7.

To find:

The value of p in the equations \begin{gathered}x = \frac { \sqrt { 7 } } { 5 }\\\end{gathered}

x=

5

7

and \begin{gathered}\frac { 5 } { \mathrm { x } } = \mathrm { p } \sqrt { 7 }\\\end{gathered}

x

5

=p

7

Solution:

Given expressions are,

\begin{gathered}x = \frac { \sqrt { 7 } } { 5 }\\\end{gathered}

x=

5

7

and

\begin{gathered}\frac { 5 } { \mathrm { x } } = \mathrm { p } \sqrt { 7 }\\\end{gathered}

x

5

=p

7

Putting the value of x in equation 2, we get,

\begin{gathered}\begin{array} { c } { \frac { 5 } { \frac { \sqrt { 7 } } { 5 } } = p \sqrt { 7 } } \\\\ { \frac { 5 \times 5 } { \sqrt { 7 } } = p \sqrt { 7 } } \\\\ { p = \frac { 5 \times 5 } { \sqrt { 7 } \times \sqrt { 7 } } \\\\= \frac { 25 } { 7 } } \end{array}\end{gathered}

Hence, the value of p in the given expression is 25/7.