Home
Class 9
MATHS
Rationalise the denominator of (1)/(7+4...

Rationalise the denominator of `(1)/(7+4sqrt(3))`.

Text Solution

Verified by Experts

The correct Answer is:
N/a

`(1)/(7+4sqrt(3))=(1)/(7+4sqrt(3))xx(7+4sqrt(3))/(7+4sqrt(3))" "(because"rationalisation factor is"7-4sqrt(3))`
`=(7-4sqrt(3))/((7)^(2)-(4sqrt(3))^(2))=(7-4sqrt3)/(49-48)=7-4sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEM

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|7 Videos
  • NUMBER SYSTEM

    NAGEEN PRAKASHAN|Exercise Exercise 1a|5 Videos
  • LINES AND ANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Questions )|6 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Questions)|16 Videos

Similar Questions

Explore conceptually related problems

Rationalise the denominator of (1)/(7+3sqrt(2))

Rationalise the denominator of (1)/(7+3sqrt(2))

Rationalise the denominator of (1)/(7+3sqrt(2))

Rationalise the denominator of (1)/(8+4sqrt(2))

Rationalise the denominator of (1)/(2+sqrt(3))

Rationalise the denominator of (1)/(3+sqrt(2))

Rationalise the denominator of (1)/(3+sqrt(2))

Rationalise the denominator of (1)/(sqrt(2))

Rationalise the denominator of (1)/(sqrt(5)) .

Rationalise the denominator of (11)/(5+sqrt(3))