Question

Simplify (3 + √2) (3 - √2).

Answer 1

using equation (a+b)(a-b)=a^2-b^2
we can solve this equation
so,(3+√2)(3-√2)
=3^2-√2^2
=9-2
=7

Answer 2

(3 + √2) (3 - √2) = 7

Given :

The expression (3 + √2) (3 - √2)

To find :

Simplify the expression

Identity Used :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (3 + √2) (3 - √2)

Step 2 of 2 :

Simplify the given expression

We are aware of the identity that

a² - b² = ( a + b ) ( a - b )

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

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

$\displaystyle \sf{ = 9 - 2 }$

$\displaystyle \sf{ = 7 }$

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