Which of the following is always irrational?
a. the sum of two fractions
b. the product of a fraction and a repeating decimal
c. the sum of a terminating decimal and the square root of a perfect square
d. the product of a repeating decimal and the square root of a non-perfect square

Correct choice is D

Step-by-step explanation:

Option A. The sum of two fractions is a fraction, a fraction is always rational number.

Option B. The product of a fraction and a repeating decimal can be rational number. For example,

Option C. The sum of a terminating decimal and the square root of a perfect square is always rational number, because the terminating decimal is a decimal that ends and the square root of a perfect square is a natural number. The product of decimal that ends and natural number is rational number.

Option D. The product of a repeating decimal and the square root of a non-perfect square is always irrational, because the square root of a non-perfect square is irrational number and when multiplying irrational number by fraction (any repeating decimal can be written as fraction) you get irrational number.

the bottom of the spinner is not flat.

step-by-step explanation:

the answer is a beach is the best place to be