Question

simplify (6 + root 6) (6 - root 6)

Answer 1

Hi there

Your answer is :-

( 6 + √6 ) × ( 6 - √6 )

( By using ( a - b )( a + b ) = a^2 - b ^2,0 )

we get,

36 - 6

30 ( Ans )

Thank You

Answer 2

Given,

• (6+$\sqrt{6}$)(6-$\sqrt{6}$) is given.

To find,

• We have to simplify the given expression.

Solution,

We can simplify the expression (6+$\sqrt{6}$)(6-$\sqrt{6}$) by using the following identity:

                        (a+b)(a-b) = a²-b²    (*)

where a= 6 and b= $\sqrt{6}$

Using (*), we get

           (6+$\sqrt{6}$)(6-$\sqrt{6}$) = (6)² - ( $\sqrt{6}$)²

As we know ($\sqrt{6}$)² = 6, ($\sqrt{6}$)² = $\sqrt{6}$ * $\sqrt{6}$, we get

                                 = 36  -  6    [($\sqrt{6}$)² = 6]

                                 = 30    

Hence, the simplification of (6+$\sqrt{6}$)(6-$\sqrt{6}$) gives 30.