Question

Rastionalise the denominator of 4/7+√5​

Answer 1

Answer:

4

7

−

√

5

by  

7

+

√

5

7

+

√

5

.

4

7

−

√

5

⋅

7

+

√

5

7

+

√

5

Multiply  

4

7

−

√

5

and  

7

+

√

5

7

+

√

5

.

4

(

7

+

√

5

)

(

7

−

√

5

)

(

7

+

√

5

)

Expand the denominator using the FOIL method.

4

(

7

+

√

5

)

49

+

7

√

5

−

7

√

5

−

√

5

2

Simplify.

4

(

7

+

√

5

)

44

Cancel the common factors.

Tap for more steps...

7

+

√

5

11

The result can be shown in multiple forms.

Exact Form:

7

+

√

5

11

Decimal Form:

0.83964254

…

Step-by-step explanation:

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