Question

Simplify : (3+√5)(3-√5)

Answer 1

$\huge{\underline{\underline{\purple{♡Solution→}}}}$

→

$(3 + \sqrt{5} )(3 - \sqrt{5} )$

We know that →

• (a + b)(a + b) = a² - b²

$= ( {3)}^{2} - ( { \sqrt{5} )}^{2} \\ = 9 - 5 \\ = 4$

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Answer 2

(3 + √5)(3 - √5) = 4

Given :

The expression (3 + √5)(3 - √5)

To find :

To simplify the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(3 + √5)(3 - √5)

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{ (3 + \sqrt{5} )(3 - \sqrt{5} ) }$

$\displaystyle \sf{ = {(3)}^{2} - {( \sqrt{5} )}^{2} }$

$\displaystyle \sf{ = 9 - 5}$

$\displaystyle \sf{ = 4}$

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