You carry out long division.
To find the decimal expansion of the square root of 14, you can use long division or a calculator. The square root of 14 is approximately 3.741657, and you would continue the process to get more decimal places if needed. Alternatively, you can also use numerical methods like the Newton-Raphson method for greater precision.
a single unit
It is -35, exactly as in the question.
12 = 10 + 2
Pi, and the square root of pi, belong to a category known as transcendental numbers, which means that not only do they have an infinite decimal expansion (the numbers following the decimal go on forever) but the decimal expansion follows no pattern and is unpredictable. Irrational numbers also have an infinite decimal expansion, but not necessarily an unpredictable one.
In the decimal expansion of , the digit repeats indefinitely.
The decimal expansion of an irrational number is non terminating and non recurring
It is 0. As is every digit after the decimal point.
It is the decimal approximation to the value of the irrational number.
a single unit
12 = 10 + 2
It is 300 + 10 + 1.
It is -35, exactly as in the question.
0.5454 repeating
569.384 = 71173⁄125
0.125
Its decimal "expansion" is 30, as in the question. You could express it as 30.000... except that doing so would imply a greater degree of precision.