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SashulF [63]
3 years ago
13

What is the answer hurry!!!

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

Answer:

D. 9 + 4√5

Step-by-step explanation:

What we're essentially doing here is squaring 2 + √5. (2 + √5 and 2 + 1√5 are essentially the same)

(2 + √5)(2 + √5) <em>(I didn't put the one on the conjugate for a reason; look above)</em>

<em>Step 1: Apply the distributive property by multiplying each term of 2 + √5 by 2 + √5</em>

4 + 2√5 + 2√5 + (√5)²

<em>Step 2: Combine 2√5 and 2√5 to get 4√5.</em>

4 + 4√5 + (√5)²

<em>Step 3: The square of √5 is 5.</em>

4 + 4√5 + 5

<em>Step 4: Add 4 and 5 to get 9.</em>

9 + 4√5 is the final answer to this question.

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