jamalhopper555
Answered

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Consider this expression:
[tex]\[
\sqrt{a^3-7} + |b|
\][/tex]

When [tex]\(a=2\)[/tex] and [tex]\(b=-4\)[/tex], the value of the expression is [tex]\(\square\)[/tex]

Sagot :

GinnyAnswer
To find the value of the given expression [tex]\(\sqrt{a^3-7} + |b|\)[/tex] when [tex]\(a=2\)[/tex] and [tex]\(b=-4\)[/tex], we follow these steps:

1. Calculate [tex]\(a^3 - 7\)[/tex] when [tex]\(a = 2\)[/tex]:
[tex]\[ a^3 = 2^3 = 8 \][/tex]
[tex]\[ a^3 - 7 = 8 - 7 = 1 \][/tex]

2. Take the square root of the result:
[tex]\[ \sqrt{1} = 1.0 \][/tex]

3. Calculate the absolute value of [tex]\(b\)[/tex] when [tex]\(b = -4\)[/tex]:
[tex]\[ |b| = |-4| = 4 \][/tex]

4. Add the two results together:
[tex]\[ 1.0 + 4 = 5.0 \][/tex]

Thus, the value of the expression is [tex]\(5.0\)[/tex].
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