Question

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

Answer 1

Step-by-step explanation:

x = √75 = √25×3 = 5√3

5x = p√7

5(5√3) = p√7

p = 25√3/√7

p = 25 √(3/7)

Answer 2

Given, x = √75 ;

then, 5x = 5√75 = 5√(3×5²) = 25√3

But it is given that 5x = p√7

Now, equating both,

25√3 = p√7

or, p = (25√3)/√7 = (25√21) /7

Answer : p = (25√21)/7

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