Simplify. Assume that all variables represent positive real numbers.
-$(5-2 \sqrt{5})^{2}$
A) $45+20 \sqrt{5}$
B) $25-4 \sqrt{5}$
C) $25+4 \sqrt{5}$
D) $45-20 \sqrt{5}$

Name: Simplify. Assume that all variables represent positive real numbers. -$(5-2 \sqrt{5})^{2}$ A) $45+20 \sqrt{5}$ B) $25-4 \sqrt{5}$ C) $25+4 \sqrt{5}$ D) $45-20 \sqrt{5}$
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Question

Quizplus · Accepted Answer

Expanding $(5-2 \sqrt{5})^{2}$ gives $5^2 - 2 \cdot 5 \cdot 2\sqrt{5} + (2\sqrt{5})^2 = 25 - 20\sqrt{5} + 20 = 45 - 20\sqrt{5}$.

Simplify Assume That All Variables Represent Positive Real Numbers (5−25)2(5-2 \sqrt{5})^{2}(5−25​)2

Simplify Assume That All Variables Represent Positive Real Numbers $(5-2 \sqrt{5})^{2}$