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Simplify: [tex](\sqrt{25} - 4)^3 \cdot 5[/tex]

The solution is:

Sagot :

GinnyAnswer
Certainly! Let's simplify the given mathematical expression step by step.

We are given the expression [tex]\((\sqrt{25} - 4)^3 \cdot 5\)[/tex].

1. Calculate the square root of 25:

[tex]\[ \sqrt{25} = 5 \][/tex]

2. Subtract 4 from the square root of 25:

[tex]\[ 5 - 4 = 1 \][/tex]

So, [tex]\(\sqrt{25} - 4 = 1\)[/tex].

3. Raise the result to the power of 3:

[tex]\[ (1)^3 = 1 \][/tex]

So, [tex]\((\sqrt{25} - 4)^3 = 1\)[/tex].

4. Multiply the result by 5:

[tex]\[ 1 \cdot 5 = 5 \][/tex]

Therefore, the simplified value of the expression [tex]\((\sqrt{25} - 4)^3 \cdot 5\)[/tex] is [tex]\(\boxed{5}\)[/tex].
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