CBSE Class 8 Answered
Divide 259875 by smallest number so that the quotient is a perfect cube. Also find the cube root of no.so obtained
Asked by aroranilay4 | 09 Jul, 2019, 05:44: PM
Expert Answer
259875 = 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11
pairs are 3 × 5
pairs are 3 × 5
since 3 × 5 × 7 × 11 are unpaired 259875 should be divided by 3 × 5 × 7 × 11 we get
259875/(3 × 5 × 7 × 11) = 259875/1155 = 225 and square root of 225 is 15
To find cube root :
prime factors are 3 × 3 × 3 × 5 × 5 × 5 × 7
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
Answered by Sneha shidid | 09 Jul, 2019, 06:06: PM
Application Videos
Concept Videos
CBSE 8 - Maths
Asked by snehaukey82720 | 13 Dec, 2023, 08:51: PM
ANSWERED BY EXPERTCBSE 8 - Maths
Asked by sahana.navada | 05 Mar, 2023, 04:17: PM
ANSWERED BY EXPERTCBSE 8 - Maths
Asked by Xeonskull2 | 19 Jan, 2022, 09:07: PM
ANSWERED BY EXPERTCBSE 8 - Maths
Asked by khushimishra2007 | 03 Nov, 2021, 01:01: PM
ANSWERED BY EXPERTCBSE 8 - Maths
Asked by teacher5.edubuddy | 13 Apr, 2021, 01:17: PM
ANSWERED BY EXPERTCBSE 8 - Maths
Asked by tharundab | 05 Oct, 2020, 08:26: AM
ANSWERED BY EXPERTCBSE 8 - Maths
Asked by anshumankumarbth123 | 30 Jul, 2020, 10:07: AM
ANSWERED BY EXPERTCBSE 8 - Maths
Asked by ankita20bhagat | 22 Jul, 2020, 09:42: AM
ANSWERED BY EXPERT
