Home
Class 8
MATHS
Prove that: 1/(3-sqrt(8))-1/(sqrt(8)-\ s...

Prove that: `1/(3-sqrt(8))-1/(sqrt(8)-\ sqrt(7))+1/(sqrt(7)-\ sqrt(6))-1/(sqrt(6)-\ sqrt(5))+1/(sqrt(5)-2)=5`

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • SURDS

    S CHAND IIT JEE FOUNDATION|Exercise QUESTION BANK -6|25 Videos

  • SURDS

    S CHAND IIT JEE FOUNDATION|Exercise SELF-ASSESSMENT SHEET -6|10 Videos

  • SQUARE ROOTS AND CUBE ROOTS

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET-4|10 Videos

  • TIME AND WORK

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet - 20|10 Videos

Similar Questions

Explore conceptually related problems

( Show that: )/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5

Let T = (1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7)) +(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)+2) then-

What is the value of (1/(sqrt(9) - sqrt(8)) - 1/(sqrt(8) - sqrt(7)) + 1/(sqrt(7) - sqrt(6)) - 1/(sqrt(6) - sqrt(5)) + 1/(sqrt(5) - sqrt(4))) ?

Show that: 1/((3-sqrt8))-1/((sqrt8-sqrt7))+1/((sqrt7-sqrt6))-1/((sqrt6-sqrt5))+1/((sqrt5-2))=5

(1)/(sqrt(9)-sqrt(8))-(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-sqrt(4))=?

Prove that: 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+sqrt(4))+1/(sqrt(4)+sqrt(5))+1/(sqrt(5)+sqrt(6))+1/(sqrt(6)+sqrt(7))+1/(sqrt(7)+sqrt(8))+1/(sqrt(8)+sqrt(9)) = 2

(2)/(sqrt(5)+sqrt(3))-(3)/(sqrt(6)+sqrt(3))+(1)/(sqrt(6)+sqrt(5))=?

Solve: (1)/(sqrt(3)-8)-(1)/(sqrt(8)-sqrt(7))

Simplify (1)/(sqrt(6)-sqrt(5))+sqrt(6)-sqrt(5)