QuestionAugust 25, 2025

6 Simplify the following expressions. a. (-(1)/(2))^2+sqrt ((6^2-11))

6 Simplify the following expressions. a. (-(1)/(2))^2+sqrt ((6^2-11))
6 Simplify the following expressions. a. (-(1)/(2))^2+sqrt ((6^2-11))

Solution
4.0(347 votes)

Answer

\frac{21}{4} Explanation 1. Simplify the power expression Calculate (-\frac{1}{2})^2 = \frac{1}{4}. 2. Simplify inside the square root Compute 6^2 - 11 = 36 - 11 = 25. 3. Evaluate the square root Calculate \sqrt{25} = 5. 4. Add the results Sum \frac{1}{4} + 5 = \frac{1}{4} + \frac{20}{4} = \frac{21}{4}.

Explanation

1. Simplify the power expression<br /> Calculate $(-\frac{1}{2})^2 = \frac{1}{4}$.<br /><br />2. Simplify inside the square root<br /> Compute $6^2 - 11 = 36 - 11 = 25$.<br /><br />3. Evaluate the square root<br /> Calculate $\sqrt{25} = 5$.<br /><br />4. Add the results<br /> Sum $\frac{1}{4} + 5 = \frac{1}{4} + \frac{20}{4} = \frac{21}{4}$.
Click to rate:

Similar Questions