Question

rationalize the denominator √ 7- √6 √7 + √6​

Answer 1

Answer:

if question is like so√7-√6/√7+√6than answer would be.

7+6-2√7×√6

=13- 12.96

=0

Answer 2

Answer:

13-2√42

Step-by-step explanation:

✓7-√6/✓7+✓6

Rationalising the denominator

√7-✓6/✓7+✓6×√7-✓6/√7-✓6

=(√7-✓6)^2/(√7)^2-(√6)^2.

since the denominator in the form of (a+b)(a-b)

we know that

(a+b)(a-b) = a^2-b^2

so,

(✓7-√6)^2/(√7)^2-(√6)^2

(√7-√6}^2/7-6

we know that ,

(a-b)^2 = a^2+b^2-2ab

(√7)^2+(✓6)^2-2(√7)(√6)/1

7+6-2√42

13-2√42

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