Question

prove that 5-p/q is rational number​

Answer 1

Answer:

Is root 5 an irrational number? A number that can be represented in p/q form where q is not equal to 0 is known as a rational number whereas numbers that cannot be represented in p/q form are known as irrational numbers. An irrational number can also be denoted as a number that does not terminate and keeps extending after the decimal point. Now that we know about rational and irrational numbers let us take a look at the detailed discussion and prove that root 5 is irrational.

Prove that Root 5 is Irrational Number

Problem statement: Prove that Root 5 is Irrational Number

Given: The number 5

Proof: On calculating the value of √5, we get the value √5 = 2.23606797749979...As discussed above a decimal number that does not terminate after the decimal point is also an irrational number. The value obtained for the root of 5 does not terminate and keeps extending further after the decimal point. This satisfies the condition of √5 being an irrational number.

Hence, √5 is an irrational number.

The square root of 5 is commonly also called "root 5". The root of a number "n" is represented as √n. Thus, we define the root of a number as the number that on multiplication to itself gives the