PSAT Math : How to find the square of a sum

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #1 : Squaring / Square Roots / Radicals

Simplify the radical.

\sqrt{3283}

Possible Answers:

7\sqrt{67}

57.3

67\sqrt{49}

56

7\sqrt{63}

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 : How To Find The Square Of A Sum

Expand:

Possible Answers:

Correct answer:

Explanation:

Use the perfect square trinomial pattern, setting :

Example Question #2 : How To Find The Square Of A Sum

If  is expanded, what is the coefficient of  ?

Possible Answers:

There is no  term in the expansion of .

Correct answer:

Explanation:

The coefficient of  is therefore 11.

Example Question #3 : How To Find The Square Of A Sum

If  is expanded, what is the coefficient of  ?

Possible Answers:

There is no  term in the expansion of .

Correct answer:

Explanation:

The coefficient of  is therefore 10.

Example Question #4 : How To Find The Square Of A Sum

Expand:

Possible Answers:

Correct answer:

Explanation:

Use the perfect square trinomial pattern, setting :

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