SAT Math : How to find the square of a sum

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 : Square Of Sum

Simplify the radical.

\sqrt{3283}

Possible Answers:

7\sqrt{63}

7\sqrt{67}

57.3

67\sqrt{49}

56

Correct answer:

7\sqrt{67}

Explanation:

We can break the square root down into 2 roots of 67 and 49. 49 is a perfect square and reduces to 7.

Example Question #1 : Squaring / Square Roots / Radicals

Simplify: 

Possible Answers:

Correct answer:

Explanation:

If you don't already have the pattern memorized, use FOIL. It's best to write out the parentheses twice (as below) to avoid mistakes:

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