Advertisements
Advertisements
प्रश्न
The number obtained on rationalising the denominator of `1/(sqrt(7) - 2)` is ______.
पर्याय
`(sqrt(7) + 2)/3`
`(sqrt(7) - 2)/3`
`(sqrt(7) + 2)/5`
`(sqrt(7) + 2)/45`
Advertisements
उत्तर
The number obtained on rationalising the denominator of `1/(sqrt(7) - 2)` is `underlinebb((sqrt(7) + 2)/3)`.
Explanation:
Rationalizing the denominator as follows:
`1/(sqrt(7) - 2) = 1/(sqrt(7) - 2) xx (sqrt(7) + 2)/(sqrt(7) + 2)`
= `(sqrt(7) + 2)/((sqrt(7))^2 - 2^2)`
= `(sqrt(7) + 2)/(7 - 4)`
= `(sqrt(7) + 2)/3`
APPEARS IN
संबंधित प्रश्न
Represent `sqrt9.3` on the number line.
Simplify the following expressions:
`(5 + sqrt7)(5 - sqrt7)`
Rationalise the denominator of the following
`(3sqrt2)/sqrt5`
Express the following with rational denominator:
`(6 - 4sqrt2)/(6 + 4sqrt2)`
Rationales the denominator and simplify:
`(5 + 2sqrt3)/(7 + 4sqrt3)`
In the following determine rational numbers a and b:
`(sqrt3 - 1)/(sqrt3 + 1) = a - bsqrt3`
Find the values the following correct to three places of decimals, it being given that `sqrt2 = 1.4142`, `sqrt3 = 1.732`, `sqrt5 = 2.2360`, `sqrt6 = 2.4495` and `sqrt10 = 3.162`
`(1 + sqrt2)/(3 - 2sqrt2)`
If \[a = \sqrt{2} + 1\],then find the value of \[a - \frac{1}{a}\].
Simplify the following:
`4sqrt(28) ÷ 3sqrt(7) ÷ root(3)(7)`
Simplify the following:
`3/sqrt(8) + 1/sqrt(2)`
