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06 Oct 2024, 07:05
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
80% (01:23) correct
20%
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wrong
based on 353
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\(\sqrt{\frac{4 × 9 + 9 × 16}{25}} = ?\)
A. \(\frac{6 √ 5}{5}\)
B. \(\frac{2 √ 3}{5}\)
C. \(\frac{3 √ 26}{5}\)
D. \(\frac{12 √ 5}{5}\)
E. \(\frac{18}{5}\)
A. \(\frac{6 √ 5}{5}\)
B. \(\frac{2 √ 3}{5}\)
C. \(\frac{3 √ 26}{5}\)
D. \(\frac{12 √ 5}{5}\)
E. \(\frac{18}{5}\)
06 Oct 2024, 07:08
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Made this title because I simply couldn't write the first line in the title properly. Sorry about that. Heres the Explanation:
\( \begin{array}{l}\sqrt{\frac{4 \times 9+9 \times 16}{25}} \\ \text { or, } \sqrt{\frac{36+144}{25}} \\ \text { or } \sqrt{\frac{180}{25}} \\ \text { or } \sqrt{\frac{36 \times 5}{25}} \\ \text { or }=\frac{\sqrt{36} \sqrt{5}}{\sqrt{25}} \\ \Rightarrow \frac{6 \sqrt{5}}{5}\end{array} \)
The question wants you to see that one of the factors of 180 is a perfect square
\( \begin{array}{l}\sqrt{\frac{4 \times 9+9 \times 16}{25}} \\ \text { or, } \sqrt{\frac{36+144}{25}} \\ \text { or } \sqrt{\frac{180}{25}} \\ \text { or } \sqrt{\frac{36 \times 5}{25}} \\ \text { or }=\frac{\sqrt{36} \sqrt{5}}{\sqrt{25}} \\ \Rightarrow \frac{6 \sqrt{5}}{5}\end{array} \)
The question wants you to see that one of the factors of 180 is a perfect square
