how can we write 4√2 as a decimal
since √2 is irrational, it cannot be written accurately as a decimal
The best you can do is write it correct to some certain number of decimal places, rounding it off
e.g. correct to 3 decimals:
4√2 = 4(1.41421356.....)
= 5.657 correct to 3 decimals
= 5.66 correct to 2 decimals
= 5.7 correct to one decimal
I think it is 1.41418384747464646465665656575786688695949494393939484848488575 and reapeated.
To write 4√2 as a decimal, we need to evaluate the square root of 2 and then multiply it by 4.
Step 1: Evaluate the square root of 2
The square root of 2 is an irrational number and cannot be expressed precisely as a decimal. However, we can approximate it using a calculator or a mathematical tool. The square root of 2 is approximately 1.41421356 (rounded to eight decimal places).
Step 2: Multiply the square root of 2 by 4
Now, we multiply the square root of 2 (1.41421356) by 4:
4 x 1.41421356 = 5.65685424
Therefore, 4√2 can be written as a decimal approximation of 5.65685424.