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In $3-14,$ determine whether each of the numbers is rational or irrational.$$\frac{\sqrt{16}}{2}$$

rational

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Chapter 3

REAL NUMBERS AND RADICALS

Section 1

The Real Numbers and Absolute Value

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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In $3-14,$ determine wheth…

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Determine whether each num…

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in this example were asked to determine if the square root of 16/2 is rational or irrational. Rational and irrational names are what we use to determine can classify different numbers. Let's talk about the definition of each. Before we classify this number, A rational number is a whole number. It is a decimal, or it is a fraction. An irrational number cannot be written as a whole number if it is a decimal than it will not repeat or end an example of an irrational number that is a decimal is pie, which never repeats for ends. And then we cannot write an irrational number as a fraction with an integer on top and bottom. So let's now classify the square root of 16/2. Let's simplify if possible. The squared of 16 gives us a whole number of four, because four times for 16 and two was our denominator. Now, already we can see this is rational because for over two is a fraction, which is considered rational. Let's simplify this all the way. 4/2 or four, divided by two, is the same as 22 and two. As a simplified as we can get, two is a whole number, so again rational. So we would classify this as a rational number

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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