Find √128
To find the square root of 128, we can simplify it by factoring out perfect squares.
128 can be broken down as follows:
128 = 2 × 64
64 is a perfect square as it is 8 squared (8 x 8).
So, we can rewrite √128 as √(2 × 64), which simplifies to:
√128 = √(2 × 8 × 8)
= √(2) × √(8 × 8)
= √(2) × 8
The square root of 2 cannot be simplified into a whole number, so we leave it in square root form. Thus,
√128 = 8√2
So, the simplified form of √128 is 8 times the square root of 2.