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Mathematics
18.11.2021 01:18
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How do I solve for (2√5−√3)^2?

How do I solve for (2√5−√3)^2?
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pedrojsq271
pedrojsq271
4,8(11 marks)

23-4\sqrt{15}

Step-by-step explanation:

So we want to simplify:

(2\sqrt5-\sqrt3)^2

Note that this is in the format:

(a-b)^2

And we know that this is the same as:

(a-b)^2=a^2-2ab+b^2

Let 2√5 be a and let √3 be b. Thus:

(2\sqrt5-\sqrt3)^2\\=(2\sqrt5)^2-2(2\sqrt5)(\sqrt3)+(\sqrt3)^2

Simplify:

=(4(5))-4(\sqrt5)(\sqrt3)+(3)\\=20-4\sqrt{15}+3\\=23-4\sqrt{15}

And this cannot be simplified any further.

chamarabrown6529
chamarabrown6529
4,9(46 marks)

-2/1

Step-by-step explanation:

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