Home
Class 14
MATHS
Determine the value of (a^2+b^2)/(a^3+b^...

Determine the value of` (a^2+b^2)/(a^3+b^3)` when a = `2 + sqrt3` and b =` 2-sqrt3`

A

0.27

B

0.42

C

0.58

D

0.93

Text Solution

AI Generated Solution

To determine the value of \((a^2 + b^2)/(a^3 + b^3)\) when \(a = 2 + \sqrt{3}\) and \(b = 2 - \sqrt{3}\), we can follow these steps: ### Step 1: Calculate \(a + b\) and \(ab\) First, we calculate \(a + b\) and \(ab\): \[ a + b = (2 + \sqrt{3}) + (2 - \sqrt{3}) = 4 \] ...
Promotional Banner

Similar Questions

Explore conceptually related problems

If a=(2+ sqrt3)/(2- sqrt3) and b=(2- sqrt3)/(2+sqrt3) , then the value of a^2+b^2+ab is: यदि a=(2+ sqrt3)/(2- sqrt3) और b=(2- sqrt3)/(2+sqrt3) , तो a^2+b^2+ab का मान:

If a : b = 3 :sqrt5 , then the value of (2a + b) : (3a - 2b) is: यदि a : b = 3 :sqrt5 , तो (2a + b): (3a -2b) का मान है:

If 2 sqrt2 x^3-3 sqrt3 y^3=(sqrt2x- sqrt3 y) (Ax^2+By^2+Cxy) , then the value of A^2+B^2-C^2 is : यदि 2 sqrt2 x^3-3 sqrt3 y^3=(sqrt2x- sqrt3 y) (Ax^2+By^2+Cxy) है, तो A^2+B^2-C^2 का मान क्या होगा ?

If tan15^@=2-sqrt3 , then the value of cot^2""75^@ (a) 7+sqrt3 (b) 7-2sqrt3 (c) 7-4sqrt3 (d) 7+4sqrt3

Determine the value of log_(3sqrt(2))((1)/(18))* a.2b .-2c.sqrt(2)d.sqrt(3)

Find the acute angles A and B such that cot (A+B) = 1/sqrt3 and sec (A-B) = 2/sqrt3.

If 3 sqrt3 x^3-2sqrt2 y^3=(sqrt3x- sqrt2y) (Ax^2-Bxy+Cy^2) , then the value of (A^2-B^2+C^2) is : यदि 3 sqrt3 x^3-2sqrt2 y^3=(sqrt3x- sqrt2y) (Ax^2-Bxy+Cy^2) है, तो (A^2-B^2+C^2) का मान क्या होगा ?

If both a and b are rational numbers,find the values of a and b in each of the following equalities: (sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=a-b sqrt(6)