Question

The rationalising factor of 7+4√3

Answer 1

For the rationalizing factor, we need to change the sign between the digits.

If the operation being carried on is "addition", it changes to 'subtraction'

And vice versa.

For this given condition, the answer will be:

7 - 4√3

Answer 2

Answer: 7 - 4√3

Step by step explanation:

Rationalising Factor:

Rationalising Factor is a term which gives rational number after multiplication from irrational number.

In simple terms,

if we have x + y√z, it's rationalising Factor is x - y√z

Similarly, for x - y√z , it's rationalising Factor is x + y√z

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Coming to your question,

7 + 4√3

It's rationalising Factor is 7 - 4√3

Let's verify:

( 7 + 4√3 ) × ( 7 - 4√3)

= 49 - 48

= 1

Thus, we got rational number after multiplication.

Hence, the rationalising Factor of 7 + 4√3 is 7 - 4√3.