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Chapter 0: Problem 49

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt[3]{8-27} $$

Short Answer

Expert verified
The cube root of the expression \(8-27\) is approximately \(-2.6207\).

Step by step solution

01

Calculate the value inside the cube root

Let's first calculate the value inside the cube root: $$ 8 - 27 = -19 $$ So now, the expression is: $$ \sqrt[3]{-19} $$
02

Find the cube root of the value

Now we need to find the cube root of -19. You can use a calculator or other tools to determine the cube root of this value: $$ \sqrt[3]{-19} \approx -2.6207 $$
03

Round the result to four significant digits

Our result is approximately -2.6207, and it already has four significant digits, so our final answer is: $$ \sqrt[3]{8 - 27} \approx -2.6207 $$

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Most popular questions from this chapter

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(-x^{2}-2 x-1=0\)

\(\left(x^{3}+1\right) \sqrt{x+1}-\left(x^{3}+1\right)^{2} \sqrt{x+1}\)

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

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(x^{4}-2 x^{2}+1=0\)

\(\left(x^{2}+1\right) \sqrt{x+1}-\sqrt{(x+1)^{3}}\)
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