Finding a square root without a calculator can be done by guessing at the approximate "right" answer then adjusting the guess until the answer squared is close enough to 2 to meet your need. There is however a formal process (Described at Link) which gives the right answer to any degree of accuracy needed.
4 the way you work this is: 2*(sqrt)2^2 the square root cancels out the exponent, so your left with 2*2
2 square root 2
the square root of 4 is 2 square root 2
The square of any square root is equal to the number itself. For example, the square of the square root of 2 squared is equal to 2. The square root of 10 squared is equal to 10.Similarly, the square of the square root of 2 is equal to 2.
Well, there technically is not a way to simplify the square root of 2, but the simplified version of the square root of 72 is 6 square root 2
The square root of the square root of 2
2
4 the way you work this is: 2*(sqrt)2^2 the square root cancels out the exponent, so your left with 2*2
The square root of 64 is 8 and you can work it out using the square root algorithm.
2 square root 2
square root 2 times square root 3 times square root 8
The square root of 2 plus the square root of 2 is equal to twice the square root of 2, therefore the correct answer is: 2(√2) or √8
the square root of 4 is 2 square root 2
The square root of two times the square root of two equals two
2
The square of any square root is equal to the number itself. For example, the square of the square root of 2 squared is equal to 2. The square root of 10 squared is equal to 10.Similarly, the square of the square root of 2 is equal to 2.
sqrt(20) = sqrt( 5 x 4) = sqrt(5 x 2 x 2) = sqr(5) X sqrt(2) x sqrt(2) NB The sqrt(2) X sqrt(2) = 2 Hence sqrt(5) X 2 Ususally written as 2sqrt(5) = sqrt(20) . NB It is written in this form ' 2sqrt(5) ' in order to indicate that the '2' is a coefficient of the sqrt(5) and NOT to be 'square rooted'.