Write the lowest rationalising factor of 5√2.

योग

5√2 × 5√2 = 5 × 2 = 10 which is rational.

∴ lowest rationalizing factor is √2.

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Rationalisation of Surds

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अध्याय 1: Rational and Irrational Numbers - Exercise 1 (C) [पृष्ठ २१]

अध्याय 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 2.1 | पृष्ठ २१

Find the values of 'a' and 'b' in each of the following :
`[2 + sqrt3]/[ 2 - sqrt3 ] = a + bsqrt3`

Find the values of 'a' and 'b' in each of the following:
`3/[ sqrt3 - sqrt2 ] = asqrt3 - bsqrt2`

If x = `2sqrt3 + 2sqrt2`, find: `1/x`

If x = 2√3 + 2√2, find: `(x + 1/x)`

If `[ 2 + sqrt5 ]/[ 2 - sqrt5] = x and [2 - sqrt5 ]/[ 2 + sqrt5] = y`; find the value of x² - y².

Rationalise the denominator `1/sqrt(50)`

Rationalise the denominator `(3sqrt(5))/sqrt(6)`

Rationalise the denominator and simplify `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6))`

If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`

Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).