Explain why any of the four operations (+-×÷) placed between the two terms 5 and -3√8 will result in an irrational number

The sum of a rational number and an irrational number is an irrational number.

Subtraction of an irrational number from a rational number is an irrational number.

Product of two irrational numbers is an irrational number.

Division of one irrational number by another irrational number is an irrational number.

From the given data, 5 is a rational number and is an irrational number.

So, are all irrational numbers.

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.