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Now simplify the formula: \( x=\frac{5 \sqrt{49}}{4} \)

Ask by Bolton Cummings. in the United States
Jan 25,2025

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Answer

\( x = \frac{35}{4} \)

Solution

To simplify the expression \( x = \frac{5 \sqrt{49}}{4} \), follow these steps: 1. **Simplify the Square Root:** \[ \sqrt{49} = 7 \] 2. **Substitute the Simplified Square Root Back into the Expression:** \[ x = \frac{5 \times 7}{4} \] 3. **Multiply the Numerator:** \[ x = \frac{35}{4} \] So, the simplified form of the expression is: \[ x = \frac{35}{4} \]

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Beyond the Answer

Did you know that simplifying square roots is almost like peeling an onion—each layer reveals a bit more? In this case, \(\sqrt{49}\) is equal to 7. So the formula simplifies to \( x = \frac{5 \times 7}{4} = \frac{35}{4} \). Voilà, you can now visualize this fraction as a lovely pie cut into four pieces, with 35 pieces of deliciousness! If fractions are a tricky terrain for you, consider this: when dividing, make sure to multiply the numerator and the denominator by the same number to find equivalent fractions! For example, if you had \(\frac{35}{4}\) and wanted to convert it into a mixed number, you would divide 35 by 4, yielding 8 as a whole and \(\frac{3}{4}\) remaining. So, \( x = 8 \frac{3}{4} \) too! Keep practicing, and you'll be a fraction wizard in no time!

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