Answer:
the answer is 1
explanation:Using the rule: (a+b) (a-b) = a^2 - b^2
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Kiara Reddy, My math classes in school are for kids a grade higher?
Answered 9 months ago
You can use FOIL or the distributive method to solve. FOIL stands for first, out, in, last.
So,
2x2 (First terms)+2-√3(Outermost terms)+2√3(Innermost terms)+√3√-3(Last two terms).
The distributive method is when you break apart the terms in parenthesis. I’ll do the first one. This gives me 2(2-√3)+√3(2-√3).
Both give me the same answer. 4-0-√9, which gives me 1.
Hope this helped!
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Pooja Bagri, Bsc Mathematics, Rani Durgavati University (2018)
Answered 10 months ago · Author has 2.6K answers and 14.8M answer views
Solve.
(2+√3) (2-√3) ………(1)
Formula is a^2-b^2=(a+b) (a-b)….. (2)
Comparing in eq. (1) and eq(2)
a=2, b=√3
So that
a^2-b^2= (2) ^2-(√3)^2
=4–3=1
So ans is 1
3K viewsView 13 Upvoters
Tushar Mehra, A-Level Mathematics & Economics and History, British School Al Khubairat (2019)
Answered 3 years ago
The answer is 1.
This equation is an example of the difference of two squares. In essence, when you multiply the two brackets together the result would be no surds in the final answer. This is because the positive surd (in this case root 3) cancels its negative counterpart out (negative root 3). In this example, you get:
4 - 2root3 + 2root3 - 3
= 4 - 3
= 1
1.7K viewsView 3 Upvoters
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