Why is square root 8 divided by 4 written as square root 2 over 2?

Answer 1

8 x √2 = 8√2

√2 x √2 = 2√2

8√2 will be divided by 2√2

√2 and √2 will cancel each other out.

So you will have: 8/2 = 4.

Answer would be 4.

The square root of 2 is the positive algebraic number that gives the number 2 when multiplied by itself. It is more precisely known as the principal square root of 2, to differentiate it from the negative number that has same property.

In Geometric values, the square root of 2 is the length of a diagonal across a square with sides of one unit of length; this follows from the Pythagorean Theorem. It was known as the first number that is irrational. Its numerical value truncated to 65 decimal places is:

1.41421 35623 73095 04880 16887 24209 69807 85696 71875 37694 80731 76679 73799....

The quick approximation 99/70 is very frequently used for the square root of two. It changes from the correct value by less than 1/10,000 despite having a denominator of only 70.

 

Answer 2

This is because square root of 8 can be simplified to 2 square root of 2. Basically what that is doing is multiplying root 4*root 2 under the radical. And the square root of 4 is 2. So you get 2 root 2. Then you can simplify the fraction by dividing top and bottom by two to get square root 2 over 2.