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When [tex]a = -5[/tex] and [tex]b = 3[/tex], the value of the expression [tex]4 \sqrt{a^2 - b^2}[/tex] is [tex]\square[/tex].

Sagot :

GinnyAnsweridn
Given the expression [tex]\(4 \sqrt{a^2 - b^2}\)[/tex] with [tex]\(a = -5\)[/tex] and [tex]\(b = 3\)[/tex],

1. First, calculate [tex]\(a^2\)[/tex]:
[tex]\[ (-5)^2 = 25 \][/tex]

2. Next, calculate [tex]\(b^2\)[/tex]:
[tex]\[ 3^2 = 9 \][/tex]

3. Subtract [tex]\(b^2\)[/tex] from [tex]\(a^2\)[/tex]:
[tex]\[ 25 - 9 = 16 \][/tex]

4. Take the square root of the result:
[tex]\[ \sqrt{16} = 4 \][/tex]

5. Finally, multiply by 4:
[tex]\[ 4 \times 4 = 16 \][/tex]

Thus, the value of the expression is:
[tex]\[ 16 \][/tex]
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