Question

Evaluate (Root5-2) (root 5+2)
step by step pls

if you know only answer

Answer 1

✧$\huge \mathcal \red {\underline{\underline{A}}}$ $\huge \mathcal \green {\underline{\underline{N}}}$ $\huge \mathcal \pink {\underline{\underline{S}}}$ $\huge \mathcal \blue {\underline{\underline{W}}}$ $\huge \mathcal \orange {\underline{\underline {E}}}$ $\huge \mathcal \purple {\underline{\underline{R}}}$✧

❥︎ Given :

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

❥︎ To Do :

Evaluate

❥︎ Solution :

We know that,

$\fbox {(a - b) (a + b) = a² - b²}$

⇒ $( \sqrt{5} - 2) ( \sqrt{5} + 2)$

Here,

• a = $\: \sqrt{5}$
• b = 2

⇒ $(\sqrt{5}) ^{2} - (2) ^{2}$

⇒ $5 - 4$

⇒ $\: = 1$

$\implies \textbf {Hence, the answer is 1.}$

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Answer 2

$\bf\huge{\red{Question←:}}$

$\bf{\red{:→}}$ Evaluate ( $\bf\sqrt{5-2}$ ) ( $\bf\sqrt{5+2}$ )

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$\bf\huge{\red{Given←:}}$

$\bf{\red{:→}}$ ( $\bf\sqrt{5-2}$ ) ( $\bf\sqrt{5+2}$ )

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$\bf\huge{\red{To~find←:}}$

$\bf{\red{:→}}$ Evaluation.

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$\bf\huge{\red{Answer←:}}$

$\bf{\bold{\red{We~know~that:}}}$

$\bf{\red{:→}}$ $\sf {\red{\underline{\boxed{\bf ( a - b ) ( a + b )}}}}$

$\bf{\red{:→}}$ ( $\bf\sqrt{5-2}$ ) ( $\bf\sqrt{5+2}$ )

$\bf{\bold{\red{Here,}}}$

$\bf{\red{➪}}$ a= $\bf\sqrt{5}$

$\bf{\red{➪}}$ b= 2

$\bf{\red{:→}}$ $\bf\sqrt{5}^{2}$ - ( 2 )²

$\bf{\red{:→}}$ 5 - 4

$\bf{\red{:→}}$ = 1.

$\bf{\bold{\red{\therefore The~Answer~is~1}}}$

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