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kenoknox
18.01.2020 •
Mathematics
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
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Ответ:
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.
Ответ:
5.123x10^-3
Step-by-step explanation: