Advertisements
Advertisements
Question
The simplest rationalising factor of \[\sqrt{3} + \sqrt{5}\] is ______.
Options
`sqrt3 - 5`
`3 - sqrt5`
`sqrt3 - sqrt5`
`sqrt3 + sqrt5`
Advertisements
Solution
The simplest rationalising factor of `sqrt3 + sqrt5` is `bbunderline(sqrt3 - sqrt5)`.
Explanation:
The simplest rationalising factor of `sqrt3 + sqrt5` is `sqrt3 - sqrt5` as `(sqrta + sqrtb)(sqrta - sqrtb) = a - b`.
APPEARS IN
RELATED QUESTIONS
Simplify:-
`2^(2/3). 2^(1/5)`
Simplify the following
`((x^2y^2)/(a^2b^3))^n`
If a = 3 and b = -2, find the values of :
aa + bb
Simplify the following:
`(3^nxx9^(n+1))/(3^(n-1)xx9^(n-1))`
Simplify the following:
`(5^(n+3)-6xx5^(n+1))/(9xx5^x-2^2xx5^n)`
If `a=xy^(p-1), b=xy^(q-1)` and `c=xy^(r-1),` prove that `a^(q-r)b^(r-p)c^(p-q)=1`
Simplify:
`root5((32)^-3)`
Find the value of x in the following:
`2^(5x)div2x=root5(2^20)`
Solve the following equation:
`4^(2x)=(root3 16)^(-6/y)=(sqrt8)^2`
The value of \[\frac{\sqrt{48} + \sqrt{32}}{\sqrt{27} + \sqrt{18}}\] is
