Verify that 1225 and 41,616 are simultaneously square and triangular numbers. [Hint: Finding an integer n such that n(n +1) in 1225 is equivalent to solving the quadratic equation n2 +n 2450 0.]

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Q: True or false: If a is any integer, then (5a + 2,7a + 3) =1. Justify your answer.

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Q: 11. Express the following as a trinomial in simplest form in terms of the variable z. (z + n)" n=0…

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Q: 1. Expand and simplify each expression. a) (8x – 3) (6x + 7) b) 3(2x + 1) – 2(x -5)?

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Q: Which square root is between the whole numbers 4 and 5?

A: Let's take any number greater than 16 and less than 25.   Now,  To find the square root of 20   We…