How do you write the square root of 2 as a fraction?

Root 2 is an irrational number as it cannot be expressed as a fraction and has an infinite number of decimals. So, the exact value of the root of 2 cannot be determined.

How do you solve a fraction with a square root in the denominator?

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. If the radical in the denominator is a square root, then you multiply by a square root that will give you a perfect square under the radical when multiplied by the denominator.

How do I find the square root of 49?

Square Root of 49

  1. Square Root of 49: √49 = 7.
  2. Square of 49: 492 = 2401.

How do you simplify a fraction with a square root in the numerator?

Instead, follow these steps:

  1. Multiply the numerator and the denominator by the same square root. Whatever you multiply to the bottom of a fraction, you must multiply to the top; this way, it’s really like you multiplied by one and you didn’t change the fraction.
  2. Multiply the tops and multiply the bottoms and simplify.

How to calculate the square root of a fraction?

The greatest common factor of 2 and 10 is 2. To simplify the expression, we can divide both the numerator and denominator by 2. The square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator. WHAT IS SQUARE ROOT OF FRACTIONS CALCULATOR?

What is the square root of 2 in math?

The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1. The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 2 ​ 1⁄ 2, is the positive algebraic number that, when multiplied by itself, gives the number 2.

Why is the square root of 2 not rational?

Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √ 2 is rational) is not correct. Therefore √ 2 cannot be rational.

Is it OK to multiply top and bottom by square root of 2?

Multiply top and bottom by the square root of 2, because: √2 × √2 = 2: Now the denominator has a rational number (=2). Done! Note: It is ok to have an irrational number in the top (numerator) of a fraction. 2. Multiply Both Top and Bottom by the Conjugate