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pogonyaev
4 years ago
7

What is the simplified version of

ula1" title="(2\sqrt{5}+3)(\sqrt{5}-1)" alt="(2\sqrt{5}+3)(\sqrt{5}-1)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Tpy6a [65]4 years ago
7 0

ANSWER

EXPLANATION

We want to simplify:

(2\sqrt{5}+3)(\sqrt{5}-1)

Recall the distributive property;

(a+b)(c+d)=a(c+d)+b(c+d)

We apply this property to get,

2\sqrt{5}(\sqrt{5}-1) + 3(\sqrt{5}-1)

We expand to get,

2 \times 5-2 \sqrt{5} + 3\sqrt{5}-3

This simplifies to,

10 + \sqrt{5}-3

The simplest form of the given expression is:

7 +  \sqrt{5}

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Help me pleaseeeeee!!!
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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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