show that SZ+5 is irrational number

Q: Express 3.63636363636. . . as a rational number, in the form •. where and q are positive integers…

A: To Determine: Express 3.63636363636... as a rational number, in the form p/q Where p & q are…

Q: Show that √2 + √3 is irrational.

A:

Q: every rational number is a decimal true or false?

A: We know that rational numbers are of the form of terminating and repeating decimals whereas…

Q: A company wants to have a 6 digit phone extension with the first digit not being zero

A: We have to make a 6- digit number. So let's assume we have 6 empty boxes to fill and form the 6-…

Q: Find a Rational number between 1/4 and 1/3

A: We will use basic knowledge of rational numbers to answer this question.

Q: Find a rational number between √2 and √3

A: Topic = Algebra

Q: Express 9.63636363636... as a rational number, in the form where p and q are positive integers with…

A:

Q: Show 2.5262626262626... is a rational number by expressing it as a ratio of two integers.

A: Show 2.526262626.... is a rational number by expressing it as a ratio of two integers as follows.

Q: 15. Find the solution set, graph it on a number line, and express it in interval notation. |r +5-1<2…

A: We have to find the solution set, solution set graph on number line and we have to express the…

Q: What two positive real numbers whose product is 19have the smallest possible​ sum?

A: We want to find the two positive real numbers whose product is 19 and the smallest possible sum.

Q: Prove by contradiction that 8√2/ 7 is irrational. ( 8 root 2 by 7)

A: To prove  827  is irrational, We have to show that 2 is irrational, As we know that when multiple…

Q: Give an example of an irrational number that greater than 10:

A:

Q: Find three consecutive integers Such thate Hour times the sauare Of theo third less three times the…

A: Let consecutive integers are x-1,x,x+1

Q: How do you express in a formula that n to the power of 3 minus n is a multiple of 6 for every number…

A:

Q: List the set of integers that satisfy the given conditions; a positive multiple of 5 and not a…

A: The given condition is that element of the set should be positive multiple of 5 and not a multiple…

Q: use proof by contradiction to show that the number is irrational. 3

A: We have to prove 3 is irrational. Let us assume 3 is rational. So, it can be written in the form of…

Q: Are the irrational numbers closed under multiplication?

A: Use closure property.

Q: Set C is the set of positive two-digit even numbers less than 56 that are divisible by 5.

A:

Q: a number whose decimal reoresentation repeats is a rational number. true or false

A: A number is rational if and only if its decimal representation is repeating or terminating (i.e.…

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 -2 0 2 4 6 8 10…

A: In this question we have to define the interval shown on the number line in interval notation.

Q: Luna told her friends that she was thinking of a number with the same digit in the ones and the…

A: To determine a number with the same digit in the ones and the thousands place (odd or even).

Q: Show that √17 is Irrational number

A:

Q: Please explain how to solve: (5 · 17) (mod 8)

A: To solve  (5*17) (mod8) we use the properties of modulo

Q: is an even integer then n square is .A Negative

A: Suppose n=m is an even integer.Since n=m , then n2=m2

Q: Show that this number is Irrational number

A:

Q: (c) Show that 3/2+ 2/3 is an algebraic number?

A:

Q: Express 3.927927927... as a rational number, in the form p/q where p and q have no common factors.…

A: Calculation: The number 3.927927927... can be expressed as, 3.927927927... =3+0.927927927...  Now…

Q: Which integers leave a remainder of 1 when divided by 2 and also leave a remainder of 1 when divided…

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Q: Prove that the product of an even number and an odd number is even.

A: Here, objective is to prove that the product of an even number &amp; an odd number is even

Q: If a rational number times an irrational number is

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Q: How many irrational numbers are there?

A: How many irrational numbers are there?

Q: What are the even integers between -9 and 5?

A: An integer k is said to be even if it can be written as k = 2n where n is an integer.The integers…

Q: from the list 0, 14, 2/3 , π, √7, -11/14 , 2.34, -19, 55/8, -√17, 3.2 ̅1, and -2.6, identify each of…

A: Consider the list: 0, 14, 23, π, 7, -114, 2.34, -19, 558, -17, 3.21 and -2.6   Here, 3.21 is a…

Q: Express 4.927927927.. . as a rational number, in the form P where p and q have no common factors. p…

A: Explanation of the answer is as follows

Q: How far did they calculate out before making that decision … 1000 places ….10, 000 places? How many…

A: Given: To explain the given statement as follows,

Q: Solve for x: 34⁵⁰≡3x (mod26 )

A: Let us consider the equation ax≡b (mod n) is a modulo equation  where x is the solution of the…

Q: show that () is an even number.

A:

Q: Suppose you divide a natural number n by a positive rational number less than 1. Will the answer…

A: Take a rational number x=p/q such that x belong to (0,1)

Q: There is no integer that has a reciprocal that is an integer.

A: As per the instructions, we will be answering only the first question. For (32), Notice that the…

Q: 4. ( it as linear combination of both numbers. Find the greatest common divisor of the numbers 1520…

A:

Q: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits…

A: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits (don’t…

Q: Show that 5 – V7 is an algebraic number.

A:

Q: Prove that 13,050.046 is not the square of a natural number.

A: Use the fact that an even number is perfect square the number is divisible by 4

Q: Use Proof by Contradiction to prove that the sum of an irrational number and a rational numbe is…

A:

Q: 5 divides n -n whenever

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Q: Use a proof by contradiction to show that the difference of any rational number and any irrational…

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Q: What are integers and how can it be easy for me to use them?

A: An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore,…

Q: 8. Use a direct proof to show that the sum of two rational numbers is rational.

A: