Home
Class 11
MATHS
Find the value of (a^2 + sqrt(a^2 - 1))^...

Find the value of (`a^2 + sqrt(a^2 - 1))^4` + `(a^2 - sqrt(a^2 - 1))^4` if a=`sqrt5`.

Text Solution

Verified by Experts

The correct Answer is:
`2a^8` + `12a^6` - `10a^4` -`4a^2` + 2
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NCERT TELUGU|Exercise EXERCISE 8.2|10 Videos

  • APPENDIX 2 MATHEMATICAL MODELLING

    NCERT TELUGU|Exercise EXAMPLE|3 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos

Similar Questions

Explore conceptually related problems

Find the value of "sec h"^(-1)(1)/(sqrt(2))

Find the value of sqrt2 upto 4 decimals.

The value of cos^(-1)((sqrt(5)-1)/4)=

Find the domain of f(x) = sqrt(x^(2)-1) + (1)/(sqrt(x^(2)-3x+2))

Find the value of cos^(-1)sqrt(2/3)-cos^(-1)""(sqrt(6)+1)/(2sqrt(3))

Find the values of the following : ( sqrt3/2 + i/2)^(5) - ( sqrt3/2 - i/2)^(5)

How can you find the value of 5sqrt2-sqrt8 .

Evaluate int_(1)^(4) x sqrt(x^(2)-1) dx

Find the values of the following: Sec^(-1)(-sqrt(2))