Mathematics: Could someone simplify these radicals for me?

Could someone simplify these radicals for me?

Ответ:

makaylahunt

12.03.2022

lemme do 1, 3, 5, 8 and 10, so you can see how's done, you start off by doing a prime factoring of the number.

$\bf 1) \\\\\\ \sqrt{68}~~ \begin{cases} 68=2\cdot 2\cdot 17\\ \qquad 2^2\cdot 17 \end{cases}\implies \sqrt{2^2\cdot 17}\implies 2\sqrt{17}\\\\ -------------------------------\\\\ 3) \\\\\\ \sqrt{92}~~ \begin{cases} 92=2\cdot 2\cdot 23\\ \qquad 2^2\cdot 23 \end{cases}\implies \sqrt{2^2\cdot 23}\implies 2\sqrt{23}\\\\ -------------------------------\\\\ 5) \\\\\\ \sqrt{27}~~ \begin{cases} 20=3\cdot 3\cdot 3\\ \qquad 3^2\cdot 3 \end{cases}\implies \sqrt{3^2\cdot 3}\implies 3\sqrt{3}$

$\bf -------------------------------\\\\ 8) \\\\\\ \sqrt{56}~~ \begin{cases} 56=2\cdot 2\cdot 2\cdot 7\\ \qquad 2^2\cdot 2\cdot 7\\ \qquad 2^2\cdot 14 \end{cases}\implies \sqrt{2^2\cdot 14}\implies 2\sqrt{14}\\\\ -------------------------------\\\\ 10) \\\\\\ \sqrt{96}~~ \begin{cases} 96=2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 2^2\cdot 2\cdot 3\\ \qquad (2^2)^2\cdot 2\cdot 3\\ \qquad (4)^2\cdot 6 \end{cases}\implies \sqrt{4^2\cdot 6}\implies 4\sqrt{6}$

0,0(0 оценок)

Ответ:

ella9288

13.11.2021

Mathematics

The correct option is:

A rectangle that is 5.4 in x 16.2 in

Step-by-step explanation:

As the container is lying on its side, and the scanner scans from the top, it means that scanner will get a 2D of cylinder where its length and width can be seen

First, whenever a cylinder is look at from one side, it will look like a rectangle.

As the cylinder is fitted with 3 balls along its length, the length of the rectangle will be equal to the sum of diameters of all three balls, that is 5.4+5.4+5.4 = 16.2 inches

As only one ball fits along the width of the, the width of the container will be equal to diameter of one ball, that is 5.4 inches

Hence, a rectangle will formed, with the dimensions of 5.4 × 16.2 in

A cylindrical container that contains three tennis balls that are 5.4 inches in diameter is lying on

0,0(0 оценок)

Could someone simplify these radicals for me?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question