Question

type the correct answer in the box. use numerals instead of words.
consider this expression
$sqrt{a^3 - 7} + |b|$
when $a = 2$ and $b = -4$, the value of the expression is

Explanation:

Step1: Substitute \(a = 2\) and \(b=-4\) into the expression

First, calculate \(a^{3}\) when \(a = 2\): \(a^{3}=2^{3}=8\). Then substitute into the square - root part: \(\sqrt{a^{3}-7}=\sqrt{8 - 7}\). For the absolute - value part, \(|b|=|-4|\).

Step2: Calculate the square - root and absolute - value

Calculate \(\sqrt{8 - 7}=\sqrt{1}=1\), and \(|-4| = 4\).

Step3: Calculate the sum of the two parts

Add the results of the square - root and the absolute - value: \(1 + 4=5\).

Answer:

5