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SVEN [57.7K]
2 years ago
6

The area formula for rectangular shapes is A=LW. What is the area of a rectangular shape with the dimensions of

//tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B11%7D" id="TexFormula1" title="\sqrt[4]{11}" alt="\sqrt[4]{11}" align="absmiddle" class="latex-formula"> and \sqrt[4]{3}?
Mathematics
2 answers:
Marta_Voda [28]2 years ago
4 0

Hi!

Given the area formula ~ A = LW

We need to multiply the two values:

\sqrt[4]{11} * \sqrt[4]{3}

Since they have the same root, 4, we can multiply what's inside of the radical and give it the same root.

11*3=33

Now, we apply the same root as before:

\sqrt[4]{33}

Therefore, your answer is \sqrt[4]{33}

Now, if you need that as a numerical value rather than a radical, it's roughly 2.397

Ann [662]2 years ago
3 0

Answer:

\textsf{area}=\sqrt[4]{33}\:\textsf{square units}

Step-by-step explanation:

<u>Formula</u>

Area of a rectangle = length × width

Given:

  • \textsf{length}=\sqrt[4]{11}
  • \textsf{width}=\sqrt[4]{3}

Substitute given values into the formula:

\implies \textsf{area}=\sqrt[4]{11} \cdot \sqrt[4]{3}

\textsf{Apply radical rule}\quad\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{ab}:

\implies \textsf{area}=\sqrt[4]{11 \cdot 3} =\sqrt[4]{33}\:\textsf{square units}

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