Home
Class 9
MATHS
Simplify each of the following expressio...

Simplify each of the following expressions :
(i) `(3+sqrt(3))(2+sqrt(2))`
(ii) `(3+sqrt(3))(3-sqrt(3))`
(iii) `(sqrt(5)+sqrt(2))^(2)`
(iv) `(sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
`(i) 6+2sqrt(3)+3sqrt(2)+sqrt(6)`, (ii) `6` , (iii) `7+2sqrt(10)`, (iv) `3`
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise NCERT questions (Exercise 1.6)|3 Videos
  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Multiple choice Question(Level-1))|50 Videos
  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise NCERT questions (Exercise 1.4)|2 Videos
  • LINES AND ANGLES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos
  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos

Similar Questions

Explore conceptually related problems

Simplify each of the following expressions: (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))( ii) (5+sqrt(7))(2+sqrt(5))

Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))( ii) (5+sqrt(7))(2+sqrt(5))

Simplify (sqrt(5)+sqrt(2))(sqrt(3)+sqrt(2))

Simplify the following expressions: (i) (sqrt(3)+sqrt(7))^(2) (ii) (2sqrt(5)+3sqrt(2))^(2)

Simplify the following expressions: (4+sqrt(7))(3+sqrt(2))( (ii) (3+sqrt(3))(5-sqrt(2))(sqrt(5)-2)(sqrt(3)-sqrt(5))

Simplify (sqrt(3)+sqrt(2))/(sqrt(5)-sqrt(2))

Simplify the following expressions: (i)(11+sqrt(11))(11-sqrt(11)) (ii) (5+sqrt(7))(5-sqrt(7)) (iii)(sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2)) (iiii)(sqrt(7)-3)(sqrt(7)+3)

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

Simplify the following expressions : (a) (sqrt(3)+sqrt(5))^(2) (b) (sqrt(5)-sqrt(2))^(2)