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Solve for qq.\newlineq=14\sqrt{q} = \frac{1}{4}\newlineWrite your answer as a fraction.\newlineq=___q = \_\_\_

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Full solution

Q. Solve for qq.\newlineq=14\sqrt{q} = \frac{1}{4}\newlineWrite your answer as a fraction.\newlineq=___q = \_\_\_
  1. Identify Equation and Operation: Identify the equation and the operation needed to isolate qq. We need to square both sides of the equation to remove the square root.q=14\sqrt{q} = \frac{1}{4}Squaring both sides gives us:(q)2=(14)2(\sqrt{q})^2 = (\frac{1}{4})^2
  2. Perform Squaring Operation: Perform the squaring operation on both sides of the equation.\newlineq=(14)×(14)q = \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right)
  3. Calculate Square: Calculate the square of 14\frac{1}{4}.\newlineq=116q = \frac{1}{16}

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