Rewrite each number in the simplest radical form. √7/√3 √80 −3√32 − √162

(i)

(ii)

(III)

Part 1 Step-by-step explanation:

We will simplify this expression by multiplying the fraction by the . This calculation is shown below,

Part 2 Step-by-step explanation:

We will simplify this expression by writing 80 as a product of 16 and 5 and then separating the square roots of this 2 factors and simplifying. This calculation is shown below,

Part 3 Step-by-step explanation:

Step 1

Choose the first term to simply first .

Step 2

Simplify the first term by first factoring 32 as the product of 2 and 16 simplifying by separating the square roots and simplifying. This is shown in the calculation below,

Step 3

In this step we simplify the second term of the expression

Step 4

We start the process by factoring 162 as a product of 2 and 81. We then proceed by separating the square roots and simplifying the radicals.

Step 5

The next step is to combine these simplified terms and add them. This calculation is shown below,

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.