Question

find the cube root of 166375 without factorisation. plz solve step by step ​

Answer 1

Cube root of 166375 = 55.

HOPE THIS HELPS U

Answer 2

Answer:

55

Step-by-step explanation:

Solving without factorisation :-

Units digit of 166375 is 5.

Therefore the units digit of its cube root is 5.

Let us split 166375 as 166 and 375.

5³ = 125 < 166 < 216 = 6³

Hence 50³ = 125000, < 166375 < 216000 = 60³

Therefore √166375 lies between 50 and 60

Since the units digit is 5 the only such number in 55

∴ 3√166375 = 55

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