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If X = ( 4 − √ 15 ) , Find the Values of 1 X - Mathematics

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Question

If x = `(4 - sqrt(15))`, find the values of 

`(1)/x`

Sum
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Solution

`(1)/x`

`(1)/x = (1)/((4 - sqrt(15))`

= `(1)/((4 - sqrt(15))) xx ((4 + sqrt(15)))/((4 + sqrt(15))`

= `((4 + sqrt(15)))/(16 - 15)`

= `(4 + sqrt(15))`

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Simplifying an Expression by Rationalization of the Denominator
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Chapter 1: Irrational Numbers - Exercise 1.3

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 1 Irrational Numbers
Exercise 1.3 | Q 8.1
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