Question

Rationalize 1/1+√5+√3

Answer 1

Step-by-step explanation:

Explanation:

Multiply the fraction by

1

+

√

3

+

√

5

1

+

√

3

+

√

5

. This is the same as multiplying by 1. This is two eliminate two surds.

The denominator you should get after multiplying the two fractions is

(

1

+

√

3

+

√

5

)

⋅

(

1

+

√

3

−

√

5

)

. We can write this as

(

(

1

+

√

3

)

−

√

5

)

(

1

+

√

3

)

+

√

5

)

.

This can then be made is DOPS and written as :

(

1

+

√

3

)

2

−

(

√

5

)

2

.

Simplify that to get:

1

+

3

+

2

√

3

−

5

I'll leave it here :).