Question

The value of ( 3 + √3)(3 – √3) is ____​

Answer 1

Answer:

( 3 + √3)(3 – √3)

=(3)^2– (√3)^2

=9-3

=6

ANSWER IS 6

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Answer 2

The value of ( 3 + √3)(3 – √3) is 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 :

Simplify the given expression

We use the formula 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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