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Chapter 0: Problem 46

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt{25}-\sqrt{16} $$

Short Answer

Expert verified
The expression \(\sqrt{25} - \sqrt{16}\) evaluates to \(5 - 4 = 1\). There's no need to round as the answer is an integer.

Step by step solution

01

Find the square roots

In the given expression, we need to find the square roots of 25 and 16. Recall that the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, we have: \[ \sqrt{25} = 5 \] And \[ \sqrt{16} = 4 \]
02

Calculate the difference

Now, we need to find the difference between the two square roots we found in step 1. So, our expression becomes: \[ 5 - 4 \]
03

Evaluate the expression

Calculating the difference between the two numbers, we get: \[ 5 - 4 = 1 \] Since our answer is an integer, there's no need to round it to four significant digits. In this case, the final answer is simply: \[ \sqrt{25} - \sqrt{16} = 1 \]

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Most popular questions from this chapter

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(3.1 x^{3}-4 x^{-2}-\frac{60}{x^{2}-1}\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(\frac{3}{2-5}\)

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

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(\frac{\left(\frac{2}{3}\right)}{5}\)

\(2 x^{2}-3 x-2\)
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