Question

If x = √75 and 5x = p√7, then the value of p ?

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Answer 1

Step-by-step explanation:

x = √75

• 5x = p√7
• 5(√75) = p√7
• $\frac{ 5√75}{ √7 }$ = p

Answer 2

Given,

The value of x = √75

The value of 5x = p√7

To find,

The value of p.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, we have to follow general algebraic method.

Now, from the value of x and 5x, we can derive :

5x = p√7

or, (5 × x) = p√7

or, (5×√75) = p√7 [Putting the value of x]

or, (5×5×√3) = p√7

or, p√7 = 25√3

$or, \: p = \frac{25 \sqrt{3} }{ \sqrt{7} }$

(This cannot be further simplified, and that's why this will be considered as the final result.)

Hence, the value of p is :

$\frac{25 \sqrt{3} }{ \sqrt{7} }$