Math, asked by Tgphari, 1 month ago

simplify (-3+✓5) (-3-✓5)
fast please​

Answers

Answered by XxItzAnvayaXx
0

{\huge{\boxed{\underline{\textsf{\textbf{\color{pink}{Final\:An}{\pink{sw}{\purple{er:-}}}}}}}}}

3

\huge\underbrace\red{\dag Given:- \dag}

(-3+\sqrt{5})(-3-\sqrt{5})

\huge\underbrace\pink {\dag To Find:- \dag}

Simplification

\huge\underbrace\green {\dag Identity \:Used:- \dag}

(a+b)(a-b)=a^{2}-b^{2}

\huge\underbrace\purple{\dag Solution:- \dag}

=(-3+\sqrt{5})(-3-\sqrt{5})

=(-3)^{2}-(\sqrt{5})^{2}

=-3 \times -3 - \sqrt{5} \times \sqrt{5} [-‘ve’ \times -‘ve’ become +‘ve’ and root

=9-5  

=3

⇔ ⇔ ⇔ ⇔⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔

\huge\underbrace\green {\dag to \ cross \ check:-\dag}

=(-3+\sqrt{5})(-3-\sqrt{5})

=-3(-3-\sqrt{5})+\sqrt{5}(-3-\sqrt{5})

-3 \times -3 -3 \times -\sqrt{5 }+ \sqrt{5} \times -3 + \sqrt{5} \times -\sqrt{5}

=9+3\sqrt{5}-3\sqrt{5}-5 [3\sqrt{5} get canceled by -3\sqrt{5} ]

=9-5\\

=3

Answered by munnabhai2131
0

Answer:

3 is the answer

keep me as brainliest

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