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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).
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What is the root number of 11?
The root number for 11 is both "1" and "11."
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
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 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.
