Bird Gibbs
01/26/2023 · Senior High School
Simplify: \( (2-5 \sqrt{3})^{2} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (2-5*\sqrt(3))^2 \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(2-5\sqrt{3}\right)^{2}\)
- step1: Expand the expression:
\(2^{2}-2\times 2\times 5\sqrt{3}+\left(5\sqrt{3}\right)^{2}\)
- step2: Calculate:
\(4-20\sqrt{3}+75\)
- step3: Add the numbers:
\(79-20\sqrt{3}\)
The simplified form of \( (2-5 \sqrt{3})^{2} \) is \( 79-20\sqrt{3} \).
Quick Answer
\( 79-20\sqrt{3} \)
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