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Chapter 0: Problem 38

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt{5} $$

Short Answer

Expert verified
The square root of 5, \(\sqrt{5}\), rounded to four significant digits is 2.2361.

Step by step solution

01

Evaluate the square root of 5

: First, we need to find the value of \(\sqrt{5}\). Using a calculator, we obtain: \(\sqrt{5} \approx 2.23607\)
02

Round the answer to four significant digits

: Now that we have the approximate value of \(\sqrt{5}\), we need to round it to four significant digits. Looking at the first five digits, we have: 2.2360. The next digit after the last significant digit is \(7\); as per the rounding rules, since the number is equal to or greater than 5, we shall round up. Our answer then becomes: 2.2361 Thus, \(\sqrt{5}\) rounded to four significant digits is 2.2361.

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Most popular questions from this chapter

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

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(3\left(1-\left(-\frac{1}{2}\right)^{2}\right)^{2}+1\)

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(x^{3}+2 x^{2}+x=0\)

Solve the equation for \(x\) (mentally, if possible). \(\frac{3}{4} x+1=0\)

\(10 x\left(x^{2}+1\right)^{4}\left(x^{3}+1\right)^{5}+15 x^{2}\left(x^{2}+1\right)^{5}\left(x^{3}+1\right)^{4}\)
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