Question
Is the sum of a rational number and irrational number rational or irrational ? Explain with an example.
The correct answer is: Use the property of rational and irrational numbers
Complete step by step solution:
Sum of a rational number and an irrational number is always an irrational number. For example,
Let 
and 
which is an irrational number since it is not of the form 
, where
p and q are integers
Related Questions to study
Is the product of two rational numbers always a rational number ?Explain with an example.
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Brie designed a carnival game that involves tossing a beanbag into the box shown. In order to win a prize , the beanbag must fall inside the black rectangle . The Probability of winning is equal to the ratio of the area of the black rectangle to the total area of the face of the box shown. Find this probability in simplified form .
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The slope intercept form is a technique for determining a straight line's equation in the coordinate plane.
¶A graph of the linear equation y = mx + c is a straight line with slope m and y-intercept c. It is known as the slope-intercept form of the linear equation, and m and c are real numbers.
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Write the equation in slope-intercept form of the line that passes through the points (-2, -1) and (0, -5).
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Write the equation in slope-intercept form of the line that passes through the points (-2, -1) and (0, -5).
If the slope of the line is to be examined and the given point is also the
¶y-intercept, you can apply the slope-intercept formula, y = mx + b. (0, b). The y value of the
¶y-intercept point is represented by the symbol b in the formula. If we know the slope between two points on a line, we can use that information to solve for the y-intercept in the slope-intercept equation y=mx+b. Here, we'll develop an equation for the line that connects the points (-1, 6) and (5,-4)
