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Question

Write the simplest form of rationalising factor for the given surds.

(i) 32 (ii) 50 (iii)27 (iv) 3510 (v) 372 (vi) 411

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Solution

i Since, 32=16×2=42So, 2 is the simplest form of rationalising factor.

ii Since, 50=25×2=52So, 2 is the simplest form of rationalising factor.

iii Since, 27=9×3=33So, 3 is the simplest form of rationalising factor.

iv Since, 3510=352×5So, 10 is the simplest form of rationalising factor.

v Since, 372=336×2=3×62=182So, 2 is the simplest form of rationalising factor.

vi Since, 411=411×1So, 11 is the simplest form of rationalising factor.

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