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In $3-10,$ tell whether each represents a number that is rational, irrational, or neither.$$\sqrt{0.25}$$

rational

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Chapter 3

REAL NUMBERS AND RADICALS

Section 2

Roots and Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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In $3-10,$ tell whether ea…

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In $3-14,$ determine wheth…

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all right. Hey, guys. So this problem, we have the square root of 0.25 Where, after the rational, irrational or neither first step, let's simplify this or at least try to simplify it. So we have square root of 0.250 point 25 Looks like a perfect square. Let's find out if it is a perfect square. So 0.25 I can be written as a product of 0.5 times 0.5 and from this we see that it actually is 0.25 is a perfect square. In a sense, so we have can simplify this a square of 0.5 square. When you square roots something square, you just get that something. So you're left with 0.5. And so we're saying that square root 0.25 is equal to 0.5 point five is a rational number because it can be written as a fraction. Its fraction equivalent is 1/2. So we know that 0.5 is ah, rational number. That means you're a 0.2 square 0.25 which is equal to 0.5 is a rational number as well. And from this easy to say that this value right here is equal into a rational value. And just to recap, the key step that we made is that we factored out. We basically rewrote our 0.25 as a product of Europe with five times your 50.5. Then we realized it was a perfect square. Made our life a lot easier to determine that it was rational. Thanks.

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