Answer:
1. (a-c)[tex]\sqrt{x}[/tex] + b[tex]\sqrt{y}[/tex]
2. 9m + 2[tex]\sqrt{n}[/tex]
3. 6a
4. (5a - 3b)[tex]\sqrt{5y}[/tex]
Step-by-step explanation:
1. since a and c share the same squareroot x, you can combine these together.
2. First add like terms together. 4m - m + 6m = 9m. Then 5[tex]\sqrt{n}[/tex] and -3[tex]\sqrt{n}[/tex] combined equals 2[tex]\sqrt{n}[/tex]
3. First simplify the square roots. squareroot of 16 is 4. square root of 49 is 7. square root of 81 is 9. They are all multiplied by a in the expression. Thus 4a - 7a + 9a = 6a
4. First simplify the radicals, they are not perfect. square root of 125 is equivalent to sqrt(25 * 5), which sqrt of 25 is 5, but we keep the sqrt of 5. For sqrt of 45, it is the same as sqrt9 * sqrt5. sqrt of 9 is the same as 3 and we keep sqrt 5. Thus we get the below:
5a[tex]\sqrt{5y}[/tex] - 3b[tex]\sqrt{5y}[/tex]
We can combine the two like terms and get the final answer above.
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