ICSE Class 8 Answered
verufy me the cube and square roots
Asked by jyotirmayi2006 | 19 Oct, 2020, 07:37: AM
Expert Answer
552123 = 3 × 3 × 3 × 11 × 11 × 13 × 13
The number repeated thrice is 3
Since 11 × 13 are repeated twice.
So, it shoud be divided by 11 × 11 × 13 × 13 to get the quotient as a perfect cube.
The cube root of a number is 3.
To find cube root :
prime factors are 3 × 3 × 3 × 5 × 5 × 5 × 7
pairs for cube root = 3 × 5
since 7 is unpaired so 259875 should be divided by 7 to get a perfect cube 259875 / 7 = 37125
and the cube root of 37125 is 33.359
prime factors are 3 × 3 × 3 × 5 × 5 × 5 × 7
Answered by Renu Varma | 29 Dec, 2020, 04:01: PM
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