answersLogoWhite

0


Best Answer

The quickest way, because 11 is odd, is as follows:Find two consecutive integers which add to 11.


From the origin, O, draw an arc of a circle with radius 6 units.

From the point 5, draw a vertical line to meet this arc an the point X.

You now have a right angled triangle O5X which has a right angle at 5.

By Pythagoras's Theorem,

OX^2 = O5^2 + 5X^2 => 6^2 = 5^2 + 5x^2

therefore 5X^2 = 6^2 - 5^2 = 36 - 25 = 11

and so 5X = sqrt(11)

So the length represented by 5X, the vertical line from 5 to the arc has a length = sqrt(11).

User Avatar

Wiki User

9y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How can we represent root 11 on the number line?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How do you find a root 11 on a number line?

It is somewhere between 3 and 4. You can get a better approximation by using your calculator to get the square root of 11.


What is the root number of 11?

The root number for 11 is both "1" and "11."


What two consecutive integers on the number line does square root of 11 lie?

Between 3 and 4.


What is the square root of 121 and how do you find it?

The square root of 121 is the number which multiplied by itself will give 121, the answer is 11. (11*11=121). we write 11*11 as 112 thus if 112 = 121, then the square root of 121 or √121= 11 as you can see a square root of a number is the opposite of the square of a number


Is -11 square root not a real number?

The square root of a negative number is a multiple of the imaginary number i, the accepted form of the square root of -1, so the square root of -11 is sqrt11 times i.


Is 11 a cube number?

Technically, yes, but 11 is a prime number, therefore the cubic root of 11 will be expressed as a rational number. The cube root of 11 (rounded to the nearest thousandth) is 2.223


Is the square root of 11 rational or irrational?

The square root of 11 is an irrational number


Why is the square root of 121 rational?

The square root of 121 is 11, and 11 is a rational number.


How far is -11 from zero on a number line?

-11 is 11 units away from zero on a number line.


Is the square root of 121 an irrational number?

The square root of 121 is 11 which is not an irrational number.


Is the square root of 11 a natural number?

No.


Is the square root of negative 11 a real number?

No. In general, the square root of a negative number is an imaginary number, which is not a real number.