Go step by step to reduce the radical.

Step-by-step explanation:

You can begin by breaking down √(160) into its prime factors.

160 = 2 * 2 * 2 * 2 * 2 * 5

√(160) = √(2 * 2 * 2 * 2 *2 * 5)

This can be broken down further by

2 * 2√2 * 5

For every 2 factors that are the same, take one outside the brackets

4 √10

I suppose the way you are supposed to write this is √16 * √10

I'm not sure I'm right. There are 2 square root signs there and it is the only way I can think of to use 2 square root signs.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.