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

Sagot :

bhadelsimron19

Answer:

36

Step-by-step explanation:

(7+[tex]\sqrt{13[/tex] )(7-[tex]\sqrt{13[/tex] )

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

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

(7)^2-([tex]\sqrt{13[/tex] )^2

=49-13

=36

[tex] \huge \mathrm{ \underline{Answer : }}[/tex]

The given expression can be written as :

  • [tex]( 7 + \sqrt{13} )(7 - \sqrt{13} )[/tex]

  • [tex](7) {}^{2} - ( \sqrt{13} ) {}^{2} [/tex]

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

  • [tex]49 - 13[/tex]

  • [tex]36[/tex]

Therefore, we will get 36 as our simplified answer.

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