Question

21. Find the cube root of (-13824) by prime factorisation method.​

Answer 1

Answer:

On prime factorising, we get,

13824= 2x2x2x2x2x2x2x2x2x3x3x3

= 2³x2³x2³x3³

SINCE, 2 AND 3 OCCURS IN TRIPLETS.

THEREFORE, 13824 IS A PERFECT CUBE.

Now,

CUBE ROOT OF 13824 = 2x2x2x3

= 24

HENCE, CUBE ROOT OF -13824 is = -24.

PLEASE MARK IT AS BRAINLIEST!!!!

Answer 2

13824 = 2×2×2×2×2×2×2×2×2×3×3×3

√13824= √ 2×2×2×2×2×2×2×2×2×3×3×3

=2×2×2×3

= 24

hence,

√13824=24

therefore,

√-13824=-24