0
A rational number is a number that can be written in the form a/b with a and b relatively prime integers - a and b are whole numbers with no common factors (eg if a=3 then b can't be 3,6,9,12,etc). Rational numbers have decimal representations that either terminate (like 3/4=0.75) or are infinitely recurring (like 1/9=0.1111111111... or 5/7=0.714285|714285|714285...).
Irrational Numbers (numbers that aren't rational) have infinite decimals that never repeat (like pi=3.1415926535..., e=2.7182818284590...). It is possible to prove that unless n is a square number, the square root of n is irrational - if n can't be written as m^2 then n^0.5 is irrational.
Since you can't find a and b such that (a/b)^2=7 the square root of 7 is irrational. It should be noted that you can get as close as you like to 7^0.5 with rational numbers but you can never reach it exactly.
Add your answer:
Earn +20 pts
Is square root of 7 a rational number?
No
Is 7 square root a rational number?
No, it is not.
Is the square root of 133 irrational or rational explain?
It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
Is the square root of 49 a rational irrational whole or integer number?
The √49 is 7. It is a rational number.
Is the square root of 7 irrational or rational?
It is a irrational number. Because the square root of every imperfect square is irrational number.
Is the square root of 49 a rational number or irrational number?
The square root of 49 is 7, so it is rational.
Is square root of 7 a rational number?
No
Is 7 square root a rational number?
No, it is not.
Is square root 0.49 a irrational or rational number?
The square root of 0.49 is 0.7 which is a rational number because it can be expressed as a fraction in the form of 7/10
Is the square root of 133 irrational or rational explain?
It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
Is the square root of 49 a rational irrational whole or integer number?
The √49 is 7. It is a rational number.
Is the square root of 49 an irrational number?
No because 7 is a rational number
Is the square root of 7 irrational or rational?
It is a irrational number. Because the square root of every imperfect square is irrational number.
Is the square root of 49 a rational number?
Yes. It's 7 .
Is the negative square root of 49 a whole number natural number integer rational number or irrational number?
The negative square root of 49 is -7. -7 is whole, integer, and rational number. It's not a natural or irrational number.
Is the square root of 39 a rational number?
The square root of 39 is not a rational number. It is somewhere between 6 and 7, but can only be written as radical(39). It is a non-ending decimal.No
Is 1 plus the square root of 7 rational or irrational?
The square root of any positive integer can only be a WHOLE NUMBER or IRRATIONAL, so the square root of 7 is irrational.On the other hand, the sum of a rational and an irrational number is always irrational.
