Solving Radical and Arithmetic Expression
The problem requires calculating the value of the expression $(\sqrt{7921}-\sqrt{2070.25}) \times (\frac{1}{4})$.
Step-by-Step Calculation
- Step 1: Calculate the square roots.
- Find the square root of 7921. $\sqrt{7921} = 89$.
- Find the square root of 2070.25. $\sqrt{2070.25} = 45.5$.
- Step 2: Perform the subtraction inside the parentheses.
Subtract the second square root from the first: $89 - 45.5 = 43.5$.
- Step 3: Multiply the result by $\frac{1}{4}$.
Multiply the difference obtained in Step 2 by $\frac{1}{4}$: $43.5 \times \frac{1}{4} = \frac{43.5}{4}$.
- Step 4: Calculate the final value.
Perform the division: $\frac{43.5}{4} = 10.875$.
Final Answer
The value of the expression $(\sqrt{7921}-\sqrt{2070.25}) \times (\frac{1}{4})$ is 10.875.
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