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Consider this expression:

[tex]\[
\sqrt{a^3-7} + |3|
\][/tex]

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

Sagot :

GinnyAnsweridn
Let's solve the given expression step-by-step:

Given:
[tex]\[ \sqrt{a^3 - 7} + |3| \][/tex]

We need to find the value of the expression when [tex]\( a = 2 \)[/tex].

First, calculate [tex]\( a^3 \)[/tex]:
[tex]\[ a^3 = 2^3 = 8 \][/tex]

Next, substitute [tex]\( a^3 \)[/tex] into the expression [tex]\( a^3 - 7 \)[/tex]:
[tex]\[ 8 - 7 = 1 \][/tex]

Now compute the square root of the result:
[tex]\[ \sqrt{1} = 1.0 \][/tex]

Next, compute the absolute value of 3:
[tex]\[ |3| = 3 \][/tex]

Finally, add the results:
[tex]\[ 1.0 + 3 = 4.0 \][/tex]

Therefore, the value of the expression when [tex]\( a = 2 \)[/tex] is:
[tex]\[ \boxed{4.0} \][/tex]
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