Question

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

Answer 1

36

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

Answer 2

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

The given expression can be written as :

• 
  `( 7 + √(13) )(7 - √(13) )`

• 
  `(7) {}^(2) - ( √(13) ) {}^(2)`

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

• 
  `49 - 13`

• 
  `36`

Therefore, we will get 36 as our simplified answer.

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`\mathrm{✌TeeNForeveR✌}`