Question

Find the rationalizing factor of √√2+√7-√10

(1) (√2+√7-√√10)(1-2√14)

(3) (√2-√7-√10)(-1-2√14)

(2) (√2+√7+√10)(-1-2√14)

(4) (-√2-√7+√10)(-1-2√14)​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Hey Hope it helps you ...

Step-by-step explanation:

Rationalising factor means, the term by which

we convert irrational number to rational

number . so, it means I have to choose a term

by which we make (V2 + 17 - V10) is a rational

number.

Let's try to solve.

(V2 + 77 - 710)(V2 + 17 + V10) = (v2 + v7)2 -

1102

= 2 + 7 + 2V14 - 10

= 2v14-1

= 756-1

again, (V56 - 1)( 156 + 1) = 56 - 1 = 55

e.g., (V2 + 17 - 10)[(V2 + 17 + V10)(V56 - 1)] = 55

So, rationalising factor is (V2 + 17 + V10)(V56 +

1)

You can resolve it ,

(V2 + 17 + V10)(V56 + 1)

V112 + 1392 + 1560 + 12 + 7 + V10

= 477 +14+2 +4135 + 12 + 17 + 10

= 577 + 15V2 + 4V35 + V10 [ ans ]

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