Answer:
√5 is irrational
Step-by-step explanation:
A rational number is one that can be written exactly as an integer or ratio of integers. Written as a decimal number, it will have a finite number of digits, or a repeating decimal fraction.
<h3>Application</h3>
Usually, a number that can <em>only</em> be expressed <em>exactly</em> using a <em>symbol</em> will be irrational. For square roots, any root of an integer other than a perfect square will be irrational.
The integer 5 is not a perfect square. It is between the squares 2²=4 and 3²=9. The square root of 5 is irrational.
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<em>Additional comment</em>
A reduced fraction whose denominator has factors other than 2 or 5 will translate to a repeating decimal. The number of repeating digits may be as many as 1 less than the denominator. For example, 1/19 has an 18-digit repeating decimal equivalent.
Answer:
678996543456789
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
1) ( a^2 + b^2 = (a + b)^2 - 2ab
= 29 - 2(6)
= 29-12
= 17.
2). (x - y)^2 = x^2 + y^2 - 2xy
so 20 = 18 - 2xy
2xy = 18-20 = -2
xy = -1.
3). 1/x + x = 7
(1/ x + x)^2 = 1/x^2 + x^2 +x/x + x/x
= 1/x^2 + x^2 + 2
But(1/x + x)^2 = 7^2 = 49
so 1/x^2 + x^2 + 2 = 49
so 1/x^2 + x^2 = 49 - 2 = 47.
The average fraction of students in the two classes who went on the field trip is 11/16
<h3>What is the average fraction of students in the two classes who went on the field trip?</h3>
The given parameters are:
Class 1 = 3/4
Class 2 = 5/8
The average is calculated as
Average = 1/2 * (Class 1 + Class 2)
So, we have
Average = 1/2 * (3/4 + 5/8)
Evaluate
Average = 11/16
Hence, the average fraction of students in the two classes who went on the field trip is 11/16
Read more about average at:
brainly.com/question/20118982
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Answer:
155
Step-by-step explanation:
