Write the Lowest Rationalising Factor of : √18 - √50

Write the lowest rationalising factor of : √18 - √50

योग

√18 - √50
√18 - √50 = `sqrt( 2 xx 3 xx 3 ) - sqrt( 5 xx 5 xx 2 )`
= 3√2 - 5√2 = -2√2
∴ lowest rationalizing factor is √2

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Rationalisation of Surds

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

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

अध्याय 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 2.5 | पृष्ठ २१

Write the simplest form of rationalising factor for the given surd.

`sqrt 50`

Write the lowest rationalising factor of : √13 + 3

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:

x² + y² + xy.

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.

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(√3 - √2)`

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`

Rationalise the denominator `1/sqrt(50)`

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