When Is the Square Root of a Number Irrational

This means that the square root of a number is the number that is multiplied by itself to get the radicand or the number below the radical sign. A proof that the square root of 2 is irrational.


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The decimals will not terminate and you cannot make it into an exact fraction.

. This means that the answer to the square root of 18 will have an infinite number of decimals. This means that the answer to the square root of 85 will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

The examples used in this video are 32 55 and 123. Since 85 is not a perfect square it is an irrational number. A square root is a root with the power of two.

We additionally assume that this ab is simplified to lowest terms since that can obviously be done with any fraction. The square root of 85 is a rational number if 85 is a perfect square. Learn how to find the approximate values of square roots.

Since 18 is not a perfect square it is an irrational number. The technique used is to compare the squares of whole numbers to the number were taking the square root of. It is an irrational number if it is not a perfect square.

Notice that in order for ab to be in simplest terms both of a and b cannot be even. It is an irrational number if it is not a perfect square. Lets suppose 2 is a rational number.

The square root of 18 is a rational number if 18 is a perfect square. Then we can write it 2 ab where a b are whole numbers b not zero.


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