Home
Class 10
MATHS
Prove that the following are irrationals...

Prove that the following are irrationals
(1) `(1)/sqrt(2) (2) 7sqrt(5) (3)6+sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
`6+sqrt(2)`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.4|3 Videos
  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise PRACTICE THOROUGHLY|11 Videos
  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.2|7 Videos
  • QUESTION PAPER-2

    KUMAR PRAKASHAN|Exercise Section C|14 Videos
  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos

Similar Questions

Explore conceptually related problems

Prove that the following are irrational. sqrt5

Prove that the following are irrational. 1/sqrt2

Prove that the following are irrational. 6+sqrt2

Prove that the following are irrational. 3+2sqrt5

Prove that the following are irrational. sqrt3 +sqrt5

Prove that the following equations has no solutions. (i) sqrt((2x+7))+sqrt((x+4))=0 (ii) sqrt((x-4))=-5 (iii) sqrt((6-x))-sqrt((x-8))=2 (iv) sqrt(-2-x)=root(5)((x-7)) (v) sqrt(x)+sqrt((x+16))=3 (vi) 7sqrt(x)+8sqrt(-x)+15/(x^(3))=98 (vii) sqrt((x-3))-sqrt(x+9)=sqrt((x-1))

Prove that sqrt (7) is an irrational number.

Simplify the following expressions. ( 5+ sqrt7) (2+ sqrt5)

Prove that 3 +2 sqrt(5) is irrational.

Prove that sqrt2+sqrt2 is irrational .