Question
3. Completar: a) \( \sqrt{\frac{1}{25}}= \) b) \( \sqrt{\frac{9}{49}}= \) c) \( \sqrt{ }=\frac{2}{3} \) d) \( \sqrt{\frac{64}{169}}= \) e) \( \sqrt{\frac{225}{16}}= \) f) \( \sqrt{ }=\frac{16}{5} \)
Ask by Burton Morrison. in Brazil
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
**3. Completar:**
**a)**
\[
\sqrt{\frac{1}{25}} = \frac{1}{5}
\]
**b)**
\[
\sqrt{\frac{9}{49}} = \frac{3}{7}
\]
**c)**
\[
\sqrt{\frac{4}{9}} = \frac{2}{3}
\]
**d)**
\[
\sqrt{\frac{64}{169}} = \frac{8}{13}
\]
**e)**
\[
\sqrt{\frac{225}{16}} = \frac{15}{4}
\]
**f)**
\[
\sqrt{\frac{256}{25}} = \frac{16}{5}
\]
Solution
Claro! Vamos resolver cada um dos itens:
**3. Completar:**
**a)**
\[
\sqrt{\frac{1}{25}} = \frac{1}{5}
\]
**b)**
\[
\sqrt{\frac{9}{49}} = \frac{3}{7}
\]
**c)**
\[
\sqrt{\frac{4}{9}} = \frac{2}{3}
\]
*(Aqui, completamos a expressão dentro da raiz que resulta em \(\frac{2}{3}\).)*
**d)**
\[
\sqrt{\frac{64}{169}} = \frac{8}{13}
\]
**e)**
\[
\sqrt{\frac{225}{16}} = \frac{15}{4}
\]
**f)**
\[
\sqrt{\frac{256}{25}} = \frac{16}{5}
\]
*(Neste caso, a expressão dentro da raiz que resulta em \(\frac{16}{5}\) é \(\frac{256}{25}\).)*
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Beyond the Answer
a) \( \sqrt{\frac{1}{25}} = \frac{1}{5} \) b) \( \sqrt{\frac{9}{49}} = \frac{3}{7} \) c) \( \sqrt{\frac{4}{9}} = \frac{2}{3} \) d) \( \sqrt{\frac{64}{169}} = \frac{8}{13} \) e) \( \sqrt{\frac{225}{16}} = \frac{15}{4} \) f) \( \sqrt{\frac{256}{25}} = \frac{16}{5} \)
