Question

The square of a number ‘P’ is the sum of squares of other two numbers ‘Q’ and ‘R’. If 8Q = 15R, Q and R are positive integers, then the least possible value of P is

Answer 1

Answer:

Given, 8Q = 15R

So, Q = 15R/8

According to question -

P² = Q² + R²

P² = (15R/8)² + R²

P² = 225R²/64 + R²

P² = 289R²/64

So, P = √289R²/64

P = 17R/8

Answer 2

Answer:

Given, 8Q = 15R

So, Q = 15R/8

According to question -

P² = Q² + R²

P² = (15R/8)² + R²

P² = 225R²/64 + R²

P² = 289R²/64

So, P = √289R²/64

P = 17R/8

Step-by-step explanation:

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