If √m + √n - √p = 0 then find value of (m+n-p)^2.

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Solution

√m+√n-√p = 0
=> √m+√n = √p

squaring both sides

(√m+√n)² = (√p)²
=> (√m)²+(√n)²+2(√m)(√n) = p
=> m+n+2√mn = p

=> m+n-p = -2√mn

(m+n-p)² = (-2√mn)²
BY SQUARING BOTH SIDES

=> (m+n-p)² = 4mn

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