Squaring / Square Roots / Radicals

Practice Questions

SAT Math › Squaring / Square Roots / Radicals

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1

According to Heron's Formula, the area of a triangle with side lengths of a, b, and c is given by the following:

Hero

where s is one-half of the triangle's perimeter.

What is the area of a triangle with side lengths of 6, 10, and 12 units?

2

According to Heron's Formula, the area of a triangle with side lengths of a, b, and c is given by the following:

Hero

where s is one-half of the triangle's perimeter.

What is the area of a triangle with side lengths of 6, 10, and 12 units?

3

Simplify:

4

has 4 roots, including the complex numbers. Take the product of with each of these roots. Take the sum of these 4 results. Which of the following is equal to this sum?

5

Find the product of (3 + 4i)(4 - 3i) given that i is the square root of negative one.

6

Find the product of (3 + 4i)(4 - 3i) given that i is the square root of negative one.

7

has 4 roots, including the complex numbers. Take the product of with each of these roots. Take the sum of these 4 results. Which of the following is equal to this sum?

8

Define an operation such that, for any complex number ,

If , then evaluate .

9

Simplify:

10

Evaluate .

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