Home
Class 9
MATHS
If 'a' and 'b' are rational numbers, fin...

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations.
`(sqrt5+sqrt3)/(2sqrt5-3sqrt3)=a-bsqrt(15)`

Text Solution

Verified by Experts

The correct Answer is:
`a=(-19)/(7),b=(5)/(7)`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NCERT TAMIL|Exercise Example |94 Videos
  • REAL NUMBERS

    NCERT TAMIL|Exercise EXERCISE - 1.3|1 Videos
  • QUADRILATERALS

    NCERT TAMIL|Exercise EXERCISE - 8.4|6 Videos
  • SET LANGUAGE

    NCERT TAMIL|Exercise Exercise 1.7 (Multiple Choice Questions)|20 Videos

Similar Questions

Explore conceptually related problems

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations. (sqrt3+sqrt2)/(sqrt3-sqrt2)=a+bsqrt6

Find the value of discriminant for each of the following equations. sqrt(5)x^(2)-x-sqrt(5)=0

Simplify the following expressions. (5+sqrt5)(5-sqrt3)

Prove that the following are irrational. sqrt3 +sqrt5

Simplify each of the following by rationalising the denominator: (3sqrt5-sqrt7)/(3sqrt3+sqrt2)

Subtract 5sqrt3+7sqrt5 from 3sqrt5-7sqrt3

Find the harmonic mean of the roots of the equation (5+sqrt2)x^2-(4+sqrt5)x+(8+2sqrt5)=0

Rationalise the denominator and simplify (5sqrt3+sqrt2)/(sqrt3+sqrt2)

Find the sum of (3sqrt3+7sqrt2) and (sqrt3-5sqrt2)