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Home / Aptitude Tests / Mathematics / If \(\frac{2 \sqrt{3...
If 2323+22 =...

If 2323+22 = m + n √ 6,

find the values of m and n respectively

A.

1, − 2

B.

− 2, n = 1

C.

25, 1

D.

23

Correct answer is B

2323+22= m + n√6

2323+22 x 32232


23(322)2(322)3(322)+22(322)

2×3466+2×2326+264×2

= 6466+438

= 04665

= 10565

= − 2 + √6

∴ m + n6 = − 2 + √6

m = − 2, n = 1