Question

Simplify the following radical expression. (7 + √13)(7 − √13)

Answer 1

$\huge \mathrm{ \underline{Answer : }}$

The given expression can be written as :

• $( 7 + \sqrt{13} )(7 - \sqrt{13} )$

• $(7) {}^{2} - ( \sqrt{13} ) {}^{2}$

[ by applying identity, (a+b) × (a-b) = a²-b² ]

• $49 - 13$

• $36$

Therefore, we will get 36 as our simplified answer.

__________________________________

$\mathrm{✌TeeNForeveR✌}$

Answer 2

Answer:

36

Step-by-step explanation:

(7+$\sqrt{13$ )(7-$\sqrt{13$ )

this is in the form of a^2-b^2 formula

a^2-d^2=(a-b)(a+b).so write,

(7)^2-($\sqrt{13$ )^2

=49-13

=36