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.
To get the square root of 8, you have to multiply the root of 2 and the root of 4. The root of 4 then simplifies to 2, so the square root of 8 equals 2 times the square root of 2.