Add 19−−√ + 19−−√.(1 point)
Responses
40−−√
Start Root 40 End Root
20−−√
Start Root 20 End Root
238−−√
2 Start Root 38 End Root
219−−√
Start Root 19 End Root + Start Root 19 End Root = Start Root 38 End Root
Start Root 19 End Root plus Start Root 19 End Root is equal to Start Root 38 End Root.
To simplify the expression 19-√ + 19-√, we can follow these steps:
Step 1: Simplify the individual radicals.
The radical symbol (√) represents the square root. To evaluate each square root separately, we can break down the numbers under the square root symbol into their prime factors.
√19 = √(1 × 19) = √1 × √19 = 1√19 = √19
√19 cannot be simplified further since 19 is a prime number.
Step 2: Add the simplified radicals.
√19 + √19 = 2√19
So, the simplified expression for 19-√ + 19-√ is 2√19.