Question

rationalise the denominator of 1/4+√15​

Answer 1

Finding :

Rationalising the denominator,

Therefore, x = 4 + √15 (I)

Again,

Rationalising the denominator,

Therefore, y = 4 - √15. (II)

Now,

x + y

= (4 + √15) + (4 - √15)

= 4 + √15 + 4 - √15

= 4 + 4 + 0

= 8

Further,

xy

= (4 + √15) (4 - √15)

= 16 + 4√15 - 4√15 - 15

= 16 - 15

= 1

Now, we know that,

248....

Answer 2

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