Question

Solve the problem ☺️☺️☺️​

Answer 1

Answer:

❤️ Hey mate ❤️

Check attachment......

Answer 2

$\dfrac{ \sqrt{ {a}^{2} \: + \: {b}^{2} } \: - \: b }{a \: - \: \sqrt{ {a}^{2} \: - \: {b}^{2} } } \: \div \: \dfrac{ \sqrt{ {a}^{2} \: - \: {b}^{2} } \: + \: a }{ \sqrt{ {a}^{2} \: + \: {b}^{2} } \: + \: b }$

_____________ [ GIVEN ]

• We have to simply solve it.

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=> $\dfrac{ \sqrt{ {a}^{2} \: + \: {b}^{2} } \: - \: b }{a \: - \: \sqrt{ {a}^{2} \: - \: {b}^{2} } } \: \div \: \dfrac{ \sqrt{ {a}^{2} \: - \: {b}^{2} } \: + \: a }{ \sqrt{ {a}^{2} \: + \: {b}^{2} } \: + \: b }$

=> $\dfrac{ \sqrt{ {a}^{2} \: + \: {b}^{2} } \: - \: b }{a \: - \: \sqrt{ {a}^{2} \: - \: {b}^{2} } } \: \times \: \frac{ \sqrt{ {a}^{2} \: + \: {b}^{2} } \: + b }{ \sqrt{ {a}^{2} \: - \: {b}^{2} } \: + \: a}$

Applying ..

(a + b) (a - b)² = a² - b²

We get,

=> $\dfrac{ {a}^{2} \: + \: {b}^{2} \: - \: {b}^{2} }{ {a}^{2} \: - \: {a}^{2} \: + \: {b}^{2} }$

Now.. cancel the terms which are similar but opposite in signs.

Doing that.. we get the following result

=> $\dfrac{ {a}^{2}}{ {b}^{2} }$

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$\dfrac{ {a}^{2}}{ {b}^{2} }$

___________ [ ANSWER ]

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