compare and contrast the difference between simplify a fraction and simplify a radical. What is the ultimate goal for each?
1 answer:
<u>Compare:</u><u>
</u>- The goal of reducing a radical and a fraction is to literally simplify the numbers to make them easier to work with
<u>
Contrast:
</u>- The action of simplifying fractions<u /> is dividing the numerator and denominator by a common factor.
- The action of simplifying radicals is making sure the radicand has no square factors. You separate the radicand into two parts, one of which can be square rooted into a whole number.
<em>Example:</em>
</u>- The goal of reducing a radical and a fraction is to literally simplify the numbers to make them easier to work with
<u>
Contrast:
</u>- The action of simplifying fractions<u /> is dividing the numerator and denominator by a common factor.
- The action of simplifying radicals is making sure the radicand has no square factors. You separate the radicand into two parts, one of which can be square rooted into a whole number.
<em>Example:</em>
You might be interested in
(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,
Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,
Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,
Simplifying, we get,
Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.
Thus, the measure of ∠CBD is 60°