Home
Class 7
MATHS
(sqrt(1024)-sqrt(24))^(2//3)(sqrt(1024)+...

`(sqrt(1024)-sqrt(24))^(2//3)(sqrt(1024)+sqrt(24))^(2//3)=`___________

A

100

B

1000

C

10

D

10000

Text Solution

Verified by Experts

The correct Answer is:
A
`(sqrt(1024)-sqrt(24))^((2//3))(sqrt(1024)+sqrt(24))^((2//3))`
`=(1024-24)^((2//3))=(1000)^((2//3))`
`=(10^3)^((2//3))=10^2=100`
Hence,the correct option is (a).
Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Assessment test Test -2|1 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Test -2|12 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Level -3|20 Videos

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Test-2|12 Videos

  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise ASSESSMENT TESTS (Test - 1) |23 Videos

Similar Questions

Explore conceptually related problems

sqrt(10.24)=?

(sqrt(24))/(8)+(sqrt(54))/(9)

Evaluate ( sqrt(24) + sqrt(6) )/( sqrt(24) - sqrt(6))

sqrt(10+sqrt(24)+sqrt(60)+sqrt(40)) is equal to

cot((pi)/(24))=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

x^(2)+2sqrt(3)x-24