Which of the following explains why the given radical is not in simpliest form ^3√162

This is a cube root, so we look for factors of 162 which are perfect cubes.

Find the prime factors of 162:-

162 = 2 * 3 * 3 * 3* 3

27 = 3^3 is a perfect cube

162 = 6 * 27

so ^3√ 162 = ^3√6 * ^3√27 = ^3√6 * 3

so the simplest form is 3 ^3√6

fwms@lil_ben06

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).