martinezadam576
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The expression [tex]3 \frac{1}{6}[/tex] can also be written in the form [tex]\sqrt[3]{a}[/tex].

For this expression, [tex]a = \square[/tex] and [tex]b = \square[/tex]

Sagot :

GinnyAnswer
Sure, let's break this down step-by-step.

First, we need to convert the mixed fraction [tex]\( 3 \frac{1}{6} \)[/tex] into an improper fraction.

Step 1: Convert the mixed number to an improper fraction.
[tex]\[ 3 \frac{1}{6} = \frac{3 \times 6 + 1}{6} = \frac{18 + 1}{6} = \frac{19}{6} \][/tex]

Step 2: We express the given fraction in the form [tex]\( \sqrt[3]{a} \)[/tex].

Now, we need to solve for [tex]\( a \)[/tex]:
[tex]\[ \left( \frac{19}{6} \right)^3 = a \][/tex]

Step 3: Calculate the value of [tex]\( a \)[/tex]:
[tex]\[ a = 31.754629629629626 \][/tex]

So, the expression [tex]\( 3 \frac{1}{6} \)[/tex] written in the form [tex]\( \sqrt[3]{a} \)[/tex], results in [tex]\( a = 31.754629629629626 \)[/tex].

Therefore, [tex]\( a = 31.754629629629626 \)[/tex] and there is no value for [tex]\( b \)[/tex]; hence we can leave the second box empty.

Thus, the final answers are:
[tex]\[ a = 31.754629629629626 \][/tex]
[tex]\[ b = \emptyset \][/tex]
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