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Question

If the square root of 50+48 = 21/m(3+2). find m

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Solution

Solving L.H.S.
50+48

22(50+48)

(100+96)214

(10+224)214

(6+4+224)214

((6)2+(4)2+2×6×4214 Using a2+b2+2ab=(a+b)2

(6+4)214

2(3+2)214

214(3+2)

According To Question L.H.S.=R.H.S.
214(3+2)=21/m(3+2)
21/4=21/m

Comparing Powers
14=1m

m=4

Answer is 4

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