Question

Rationalize the Denominator
V2
(7-55

Answer 1

Answer:

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 (√2 + √7 - √10) is a rational number.

Let's try to solve .

(√2 + √7 - √10)(√2 + √7 + √10) = (√2 + √7)² - √10²

= 2 + 7 + 2√14 - 10

= 2√14 - 1

= √56 - 1

again, (√56 - 1)(√56 + 1) = 56 - 1 = 55

e.g., (√2 + √7 - 10)[(√2 + √7 + √10)(√56 - 1)] = 55

So, rationalising factor is (√2 + √7 + √10)(√56 + 1)

You can resolve it ,

(√2 + √7 + √10)(√56 + 1)

= √112 + √392 + √560 + √2 + √7 + √10

= 4√7 + 14√2 + 4√35 + √2 + √7 + √10

= 5√7 + 15√2 + 4√35 + √10 [ ans ]

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