If X =Sqrt5 - 2/Sqrt5 + 2 and Y = Sqrt5 + 2/ Sqrt5 - 2 Find : Xy

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

योग

xy = `[(sqrt5 - 2)(sqrt5 + 2)]/[(sqrt5 + 2)(sqrt5 - 2)] = 1`

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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 २२]

अध्याय 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 6.3 | पृष्ठ २२

Rationalize the denominator.

`6/(9sqrt 3)`

Rationalize the denominator.

`11 / sqrt 3`

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

`3/5 sqrt 10`

Write the lowest rationalising factor of 5√2.

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

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

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

x² + y² + xy.

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

Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`

Rationalise the denominator `sqrt(75)/sqrt(18)`