Write the Lowest Rationalising Factor of : 7 - √7 - Mathematics

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`

Rationalize the denominator.

`11 / sqrt 3`

Write the lowest rationalising factor of √5 - 3.

Write the lowest rationalising factor of 15 – 3√2.

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : y²

If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n²

Show that :
`1/[ 3 - 2√2] - 1/[ 2√2 - √7 ] + 1/[ √7 - √6 ] - 1/[ √6 - √5 ] + 1/[√5 - 2] = 5`

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

Find the value of a and b if `(sqrt(7) - 2)/(sqrt(7) + 2) = asqrt(7) + b`.

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