√2(9-√2)+5√2
just do normal expansion of distributed sums:
√2(9-√2)+5√2
9√2 - √2√2 + 5√2
14√2 - 2
To simplify the expression √2(9-√2) + 5√2, we can follow these steps:
Step 1: Distribute the √2 to the terms inside the parentheses:
√2 * 9 - √2 * √2 + 5√2
Step 2: Simplify each term:
9√2 - √(2 * 2) + 5√2
Step 3: Simplify the square root of 2 squared:
9√2 - √4 + 5√2
Step 4: Simplify the square root of 4:
9√2 - 2 + 5√2
Step 5: Combine like terms:
(9√2 + 5√2) - 2
Step 6: Add (9√2 + 5√2):
14√2 - 2
Therefore, the simplified expression is 14√2 - 2.