Question

The value of(√11-√2)(√11-√2)

Answer 1

Answer:

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Answer 2

(√11-√2)(√11-√2) = 13 - 2√22

Given:

(√11-√2)(√11-√2)

To find:

The value of(√11-√2)(√11-√2)

Solution:

We have been given (√11-√2)(√11-√2)

As we can see that both the brackets have same terms

The number is multiplied by itself, so we can put square on it

So, our question will be

(√11-√2)²

Now, we have the formula of (a-b)²

(a-b)² = a² + b² - 2ab

Now, a = √11

b = √2

We just have to apply the formula

(√11-√2)² = (√11)² + (√2)² - 2√11 √2

= 11 + 2 - 2√22

= 13 - 2√22

Hence, our answer will be 13 - 2√22.

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