Question

$simplify \: it \: \\ \frac{ \sqrt{5 } - 2}{ \sqrt{5} + 2 } - \frac{ \sqrt{5 } + 2}{ \sqrt{5} - 2 }$​

Answer 1

Explanation:

$\frac{ \sqrt{5} - 2}{ \sqrt{5} + 2} - \frac{ \sqrt{5} + 2 }{ \sqrt{5} - 2} = = > > \\ \\ \\ = = > > \frac{( \sqrt{5} - 2) {}^{2} - ( \sqrt{5} + 2) {}^{2} }{( \sqrt{5} + 2)( \sqrt{5} - 2) } \\ \\ \\ \\ = > > \frac{(5 + 4 - 4 \sqrt{5}) - (5 + 4 + 4 \sqrt{5} )}{5 - 4} \\ \\ = > you \: \: know... \\ \\( x + y)(x - 1) = {x}^{2} - {y}^{2} \\ \\ \\ \\ = > \frac{9 - 4 \sqrt{5} - 9 - 4 \sqrt{5} }{1} \\ \\ \\ = > - 4 \sqrt{5} - 4 \sqrt{5} \\ \\ \\ = > - \sqrt{5} (4 + 4) \\ \\ = > = > = > - 8 \sqrt{5} \: \: ans......$

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Answer 2

Explanation:

18

Step-by-step explanation:

Given:

To Find:

Process to Solve:

1. Don't Need to Rationalize because it's a like fraction

2. Take L.C.M

3. Use Algebra Formula

4. Simplify and Get the answer

Solution:

Therefore, The required answer is 18.

Algebra Formula Used

a² - b² = (a + b)(a - b)

(a - b)² + (a + b)² = 2(a² + b²)

What is Like Fraction ?

When the nominator and denominator of two fraction are similar but different by sign.

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