Question

Rationalise the denominator of 22/2+√3+√5

Answer 1

Answer:

4 - 2√15 + 3√3 + √5

Step-by-step explanation:

Rationalise the denominator of 22/2+√3+√5

22/(2+√3+√5)

= 22/(2+√3+√5)    * (2- (√3+√5))/(2- (√3+√5))

= 22 (2- (√3+√5)) /  ( 4 - (3 + 5 + 2√15) )

= 22 (2- (√3+√5)) /  ( -4 - 2√15) )

= -11 (2- (√3+√5)) /  ( 2 + √15) )

= -11 (2- (√3+√5)) /  ( 2 + √15) )  *  (2 - √15)/(2 - √15)

= -11 (2- (√3+√5)) *  (2 - √15) / ( 4 - 15)

= -11 (2- (√3+√5)) *  (2 - √15) /(-11)

=  (2- (√3+√5)) *  (2 - √15)

= 4 - 2√15 - 2√3 - 2√5  + 3√5 + 5√3

= 4 - 2√15 + 3√3 + √5

Answer 2

Answer:

11+root8/3

Step-by-step explanation:

22/2+root3+root6

=> 22/2+root8

=> 22*2+root8/2+root8*2+root8

=> 44+root8/12

=> 11+root8/3

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