Squaring / Square Roots / Radicals

Practice Questions

PSAT 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

Simplify the radical expression.

$\sqrt[3]{-64x^{6}y^{12}}$

3

Simplify the radical expression.

$\sqrt[3]{-64x^{6}y^{12}}$

4

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?

5

Simplify the radical.

$\sqrt{3283}$

6

Simplify the radical.

$\sqrt{3283}$

7

Expand:

$\left ( 10x+ \frac{1}{5}\right )^{2}$

8

Expand:

$\left ( 10x+ \frac{1}{5}\right )^{2}$

9

If $\left (5 x^{2 } - x + 1\right )^{2}$ is expanded, what is the coefficient of $x^{3}$ ?

10

Expand:

$\left ( 10x+ 0.8\right )^{2}$

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