Question

solve :-
$(5 - \sqrt{2} ) \: \: \ \: (5 + \sqrt{2)}$
​

Answer 1

question :-

$\bold{( \: 5 - \sqrt{2} \: ) \: \: \ \: ( \: 5 + \sqrt{2)} \:}$

$\bold{\bigstar \: \: \: \: by \: using \: identity \: .}$

$\boxed {(a \: - \: b {)} \: (a \: + \: b) \: = \: {a}^{2} \: - \: {b}^{2}}$

Solution :-

$\bold{:\longrightarrow \: \: \: \: (\: 5 - \sqrt{2} \: ) ( \: 5 + \sqrt{2}) \: = \: (5)^{2} \: - \: ( \sqrt{2})^{2} }$

$\bold{:\longrightarrow \: \: \: \: 2 5 - 2 \: }$

$\bold{:\longrightarrow \: \: \: \: 23}$

Final Answer :-

$\bold{:\longrightarrow \: \: \: \: 23}$

Note :-

Here

$\bold{:\longrightarrow \:\:\:\:a\:=\:5}$

$\bold{:\longrightarrow \:\:\:\:b\:=\:\sqrt{2}}$

Answer 2

Answer:

23 is the right answer.

Step-by-step explanation:

$(5 - \sqrt{2} )(5 + \sqrt{2} ) \\ = {(5)}^{2} - {( \sqrt{2}) }^{2} \\ = 25 - 2 \\ = \boxed{23}$

Formula used :-----

$(x - y)(x + y) = {x}^{2} - {y}^{2}$