Question

multiply (3+root 3) (3-root3)​

Answer 1

$(3 + \sqrt{2} )(3 - \sqrt{2)}$

we use the identity (a+b)(a-b)=a2-b2

Answer 2

( 3 + √3 ) ( 3 - √3 ) = 6

Given :

The expression ( 3 + √3 ) ( 3 - √3)

To find :

The value of the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is ( 3 + √3 ) ( 3 - √3)

Step 2 of 2 :

Find the value of the expression

We are aware of the identity that a² - b² = ( a + b ) ( a - b )

Thus we get

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

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

$\displaystyle \sf{ = 9 - 3 }$

$\displaystyle \sf{ = 6}$

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