Simplifying 2 sqrt 2 involves understanding how to manipulate square roots and numbers together. The expression ‘2 sqrt 2’ can be rewritten as ‘2 × √2’. This helps clarify that we are simply multiplying the number 2 by the square root of 2.
Now, to express it in a simpler or more manageable form, we can calculate the approximate value of √2. The square root of 2 is approximately 1.414. So, when we multiply:
2 × √2 ≈ 2 × 1.414 = 2.828
This means that ‘2 sqrt 2’ simplifies down to roughly 2.828 in numerical form. However, if the goal is to express it in terms of radicals, it is already in its simplest radical form. Therefore, the simplest way to express ‘2 sqrt 2’ can either remain as ‘2√2’ or be approximated numerically to about 2.828.