add 3 √ 19 + √ 19
a. 2√38
b √40
c. √20
d. 2√ 19
To simplify the expression 3√19 + √19, we can combine the terms with the same radical (√19). This gives us:
3√19 + √19 = (3 + 1)√19 = 4√19
Therefore, the simplified expression is 4√19, which is not one of the given options.
To add √19 and 3√19, we can combine the like terms.
√19 + 3√19 = (1 + 3)√19 = 4√19
Therefore, the answer is d) 2√19.
To add the terms 3√19 and √19, we need to combine the like terms. In this case, both terms have the same radical (√19), so we can add their coefficients.
The coefficient of √19 in the first term is 3, and the coefficient in the second term is 1. Therefore, to add them, we simply add their coefficients:
3√19 + √19 = (3 + 1)√19 = 4√19
So the correct answer is d) 2√19.
Explanation of how to get the answer:
1. Identify the like terms, which in this case are the terms with the same radical (√19).
2. Add the coefficients of the like terms.
3. Write down the sum with the radical (√19) attached.