Prove that 5+sqrt3 is an irrational numb...

Prove that `5+sqrt3` is an irrational number.

Topper's Solved these Questions

ANNUAL EXAMINATION QUESTION PAPER JUNE-2019 (WITH ANSWERS)
SUBHASH PUBLICATION|Exercise EXERCISE|38 Videos
ANNUAL EXAMINATION QUESTION PAPER JUN-2019
SUBHASH PUBLICATION|Exercise PART E|4 Videos
ANNUAL EXAMINATION QUESTION PAPER MAR-2018
SUBHASH PUBLICATION|Exercise PART E|4 Videos

Similar Questions

Explore conceptually related problems

Prove that 2+sqrt(5) is an irrational number.

Prove that 3+sqrt5 is an irrational number.

Prove that sqrt(5) is an irrational number.

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

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

Given that sqrt(p) is irrational for all primes p and also suppose that 3721 is a prime. Can you conclude that sqrt(3721) is an irrational number ? Is your conclusion correct ? Why or why not ?

Prove that sqrt2+sqrt2 is irrational .

Prove that 7+sqrt(5) is irrational .

Show that 5-sqrt3 is irrational.

Prove that sqrtp+sqrtq is an irrational, where p,q are primes.

SUBHASH PUBLICATION-ANNUAL EXAMINATION QUESTION PAPER JUNE-2019 (WITH ANSWERS)-EXERCISE

Find the distance between the points (2,3) and (4,1).
Text Solution
|
Find the area of a triangle whose vertices are (1,-1),(-4,6) and (-3,-...
Text Solution
|
Prove that 5+sqrt3 is an irrational number.
Text Solution
|
Delta ABC~Delta DEF and their areas are 64 cm^2 and 100 cm^2 respectiv...
Text Solution
|
A verticle pole of height 6m casts a shadow 4m long on the ground, and...
Text Solution
|
The diagonal BD of parallelogram ABCD intersect AE at F as shown in th...
Text Solution
|
sum and product of the zeroes of a quadratic polynomial P(x)=ax^2+bx-4...
Text Solution
|
Find the quotient and remainder when p(x)=2x^2+2x+1 is divided by g(x)...
Text Solution
|
Find the value of k, in which one of its zeros is -4 of the polynomial...
Text Solution
|
Solve the equation x^2-3x-10=0 by using formula.
Text Solution
|
If cosec theta=(13)/(12) then find the value of cos theta.
Text Solution
|
tan A . Sin A+ cos A=secA
Text Solution
|
Draw a pair of tangents to a circle of radius 5 cm which are inclined ...
Text Solution
|
A box contains 90 discs. Which are numbered from 1 to 90. If one disc ...
Text Solution
|
A metallic sphere of radius 9cm is melted and recast into the shape o...
Text Solution
|
The faces of two cubes of volume 125 cm^3 each are joined together to ...
Text Solution
|
Prove that the "Length of tangents drawn from an external point a circ...
Text Solution
|
Two concentric circle of radii 5 cm and 3cm are drawn. Find the length...
Text Solution
|
Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another t...
Text Solution
|
Find the mode for the following data in the frequency distribution tab...
Text Solution
|