Question

if x=√7/5 and 5/x=p√7 find p

Answer 1

Answer:

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

To find:

The value of p in the equations $x = \frac { \sqrt { 7 } } { 5 }$ and $\frac { 5 } { \mathrm { x } } = \mathrm { p } \sqrt { 7 }$

Solution:

Given expressions are,

$x = \frac { \sqrt { 7 } } { 5 }$

and

$\frac { 5 } { \mathrm { x } } = \mathrm { p } \sqrt { 7 }$

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

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

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

Answer 2

Answer:

$Value \: of \: p = \frac{25}{7}$

Step-by-step explanation:

$Given \: x = \frac{\sqrt{7}}{5} ---(1)$

and

$\frac{5}{x}=p\sqrt{7}$

$\implies \frac{5}{\frac{\sqrt{7}}{5}}=p\sqrt{7}$

\* From (1) *\

$\implies 5 \times \frac{5}{\sqrt{7}}=p\sqrt{7}$

$\implies 5 \times \frac{5}{\sqrt{7}} \times \frac{1}{\sqrt{7}}=p$

$\implies \frac{25}{7}=p$

Therefore,.

$Value \: of \: p = \frac{25}{7}$

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