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The rationalising factor of 7+4√3

Answer»

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.



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