<h2>Recurring decimals such as 0.26262626…, all integers and all finite decimals, such as 0.241, are also rational numbers. Alternatively, an irrational number is any number that is not rational. ... For example, the square root of 2 is an irrational number because it cannot be written as a ratio of two integers.</h2><h2>Worked Examples
</h2><h2>1 - recognize Surds
</h2><h2>A surd is a square root which cannot be reduced to a whole number.
</h2><h2>
</h2><h2>For example,
</h2><h2>
</h2><h2>4–√=2
</h2><h2>is not a surd, because the answer is a whole number.
</h2><h2>
</h2><h2>Alternatively
</h2><h2>
</h2><h2>5–√
</h2><h2>is a surd because the answer is not a whole number.
</h2><h2>
</h2><h2>You could use a calculator to find that
</h2><h2>
</h2><h2>5–√=2.236067977...
</h2><h2>but instead of this we often leave our answers in the square root form, as a surd.
</h2><h2>
</h2><h2>2 - Simplifying Surds
</h2><h2>During your exam, you will be asked to simplify expressions which include surds. In order to correctly simplify surds, you must adhere to the following principles:
</h2><h2>
</h2><h2>ab−−√=a−−√∗b√
</h2><h2>a−−√∗a−−√=a
</h2><h2>Example
</h2><h2>(a) - Simplify
</h2><h2>
</h2><h2>27−−√
</h2><h2>Solution
</h2><h2>(a) - The surd √27 can be written as:
</h2><h2>
</h2><h2>27−−√=9–√∗3–√
</h2><h2>9–√=3
</h2><h2>Therefore,
</h2><h2>
</h2><h2>27−−√=33–√
</h2><h2>Example
</h2><h2>(b) - Simplify
</h2><h2>
</h2><h2>12−−√3–√
</h2><h2>Solution
</h2><h2>(b) -
</h2><h2>
</h2><h2>12−−√3–√=12−−√∗3–√=(12∗3)−−−−−−√=36−−√
</h2><h2>36−−√=6
</h2><h2>Therefore,
</h2><h2>
</h2><h2>12−−√3–√=6
</h2><h2>Example
</h2><h2>(c) - Simplify
</h2><h2>
</h2><h2>45−−√5–√
</h2><h2>Solution
</h2><h2>(c) -
</h2><h2>
</h2><h2>45−−√5–√=45/5−−−−√=9–√=3
</h2><h2>Therefore,
</h2><h2>
</h2><h2>45−−√5–√=3</h2>
Answer:
B
When I get questions like this, I just substitute each ordered pair in. In this case, I thought that B didn't seem that it would fit, but I substituted to make sure, and this is what I got:
1-2=9...
...which obviously can't be true, so I knew that B was the correct answer.
Hope I helped! Sorry if I'm wrong. :)
~Mschmindy
Answer:
B
Step-by-step explanation:
If you mean this one then:
Yes it is a perfect square, since you get a whole number as the original points
And the answer is C