Subtract simplify by collecting like radical terms 2square root symbol 50 -2 squareroot symbol 2.
2√50 - 2√2
2√25√2 - 2√2
10√2 - 2√2
8√2
To subtract and simplify by collecting like radical terms, we need to simplify the square roots first.
We can simplify the square root of 50 and the square root of 2 separately:
1. Square root of 50:
- We can break down 50 into factors of perfect squares: 50 = 25 * 2.
- The square root of 25 is 5, so we can simplify the square root of 50 as 5 * square root of 2.
2. Square root of 2:
- The square root of 2 cannot be simplified any further.
Now, we can substitute these simplified values back into the original expression and subtract:
2 * square root of 50 - 2 * square root of 2
= 2 * (5 * square root of 2) - 2 * square root of 2 (Substituting the simplified values)
= 10 * square root of 2 - 2 * square root of 2 (Multiplying the coefficients)
= (10 - 2) * square root of 2 (Collecting like radical terms)
= 8 * square root of 2
So, the simplified form of the expression 2 * square root of 50 - 2 * square root of 2 is 8 * square root of 2.