Write the Lowest Rationalising Factor of : 7 - √7

Write the lowest rationalising factor of : 7 - √7

बेरीज

7 - √7
( 7 - √7 )( 7 + √7 ) = 49 - 7 = 42
Therefore, lowest rationalizing factor is ( 7 + √7 ).

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Rationalisation of Surds

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

पाठ 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 2.4 | पृष्ठ २१

Rationalize the denominator.

`5/sqrt 7`

Write the lowest rationalising factor of : √5 - √2

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:
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x²

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : xy

If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find m²

Rationalise the denominator `1/sqrt(50)`

Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`

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