Math, asked by Nihaaltheavenger777, 10 months ago

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Answered by Anonymous
2

Answer:

√p + √q is irrational number.

Step-by-step explanation:

Let √p + √q be rational.

=> √p + √q = (a/b)

Squaring both sides, we will get

=> (√p + √q)^2 = (a/b)^2

=> p + q + 2√pq = a²/b²

=> 2√pq = (a²/b²) - p - q

=> 2√pq = (a² - p - q)/b²

=> 2√p = (a² - p - q)/b²√q

=> √p = (a² - p - q)/2b²√q

which is a contradiction as the right hand side is rational number, while √p is irrational.

Therefore, √p + √q is irrational.

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Answered by Rahilahmedshaikh111
1

Answer:

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