Which statement is true about the expression? √18 + √2

A. It is rational and equal to 4 times the square root of 2.
B. It is irrational and equal to 4 times the square root of 2.
C. It is rational and equal to 3 times the square root of 2.
D. It is irrational and equal to 3 times the square root of 2.

Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.

Step-by-step explanation:

it is rational and equal to 4/2

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$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p