How many positive integers less that 50 have irrational square roots?

It is easier to calculate how many integers are perfect squares and then subtract that number from 50.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

There are 7 numbers that have perfect squares, so there are 50 - 7 = 43 that have irrational square roots.

43

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3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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