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Chapter 0: Problem 55

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt{\frac{1}{4}(1+15)} $$

Short Answer

Expert verified
The expression evaluates to: \( \sqrt{\frac{1}{4}(1+15)} = 2 \)

Step by step solution

01

Add inside the parentheses

To begin, we must first add the numbers inside the parentheses. $$ 1 + 15 = 16 $$
02

Find the fraction

Next, we will divide the sum we found in step 1 by 4. $$ \frac{1}{4}(16) = \frac{16}{4} $$ Calculate the fraction: $$ \frac{16}{4} = 4 $$
03

Calculate the square root

Now that we have the result from step 2, we can find the square root of 4. $$ \sqrt{4} = 2 $$
04

Final Answer

The expression evaluates to 2, so the final answer is: $$ \sqrt{\frac{1}{4}(1+15)} = 2 $$

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Most popular questions from this chapter

\((x+y-x y)^{2}\)

\(x^{2}+4 x y+4 y^{2}\)

Calculate each expression in Exencises giving the answer as \(a\) whole mumber or a fraction in lowest terms.\(2 /\left(1^{\wedge} 2\right)-(2 / 1)^{\wedge} 2\)

Find all possible real solutions of each equation \(x^{3}+6 x^{2}+11 x+6=0\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(3+\frac{3+x}{x y}\)
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