Advertisements
Advertisements
Question
Find the square root of the following
`1 + 1/(x^6) + 2/(x^3)`
Advertisements
Solution
`1 + 1/(x^6) + 2/(x^3) = sqrt(1^2 + (1/x^3)^2 + 2/x^3)`
= `sqrt((1 + 1/x^3)^2`
= `|1 + 1/x^3|`
APPEARS IN
RELATED QUESTIONS
Find the square root of the following rational expression
`(400x^4y^12z^16)/(100x^8y^4z^4)`
Find the square root of the following
4x2 + 20x + 25
Find the square root of the following
`(2x^2 + 17/6 x + 1) (3/2 x^2 + 4x + 2) (4/3 x^2 + 11/3 x + 2)`
Find the square root of the following polynomials by division method
x4 – 12x3 + 42x2 – 36x + 9
Find the values of a and b if the following polynomial is a perfect square
4x4 – 12x3 + 37x2 + bx + a
Find the values of m and n if the following polynomial is a perfect square
x4 – 8x3 + mx2 + nx + 16
The square root of `(256x^8y^4z^10)/(25x^6y^6z^6)` is equal to
Which of the following should be added to make x4 + 64 a perfect square
If α and β are the roots of the polynomial f(x) = x2 – 2x + 3, find the polynomial whose roots are α + 2, β + 2
If α and β are the roots of the polynomial f(x) = x2 – 2x + 3, find the polynomial whose roots are `(alpha - 1)/(alpha + 1), (beta - 1)/(beta + 1)`
