B. Simplifying Radicals
Completion requirements
B. Simplifying Radicals
Warm Up |
Perfect Squares and Cubes
To simplify square roots and cube roots, you must recognize perfect squares and perfect cubes. Use this Warm Up as a refresher of perfect squares and cubes. Mark the page so that it is easily accessible, and be sure to practice enough questions so that these become sufficiently familiar.
Complete the following table:
| \(x \) | Perfect Square
\(x^2\) |
Perfect Cube
\(x^3\) |
|
\(1\)
|
\(1^2 = 1\) |
\(1^3 = 1\)
|
| \(2\) |
\(2^2 = 4\) |
\(2^3 = 8\) |
| \(3\) |
|
|
|
\(4\)
|
|
|
|
\(5\)
|
|
|
|
\(6\)
|
|
|
|
\(7\)
|
|
|
|
\(8\)
|
||
|
\(9\)
|
||
| \(10\) |
|
|
| \(x \) | Perfect Square
\(x^2\) |
Perfect Cube
\(x^3\) |
|
\(1\)
|
\(1^2 = 1\) |
\(1^3 = 1\)
|
| \(2\) |
\(2^2 = 1\) |
\(2^3 = 8\) |
| \(3\) |
\(\color{red}9\)
|
\(\color{red}27\)
|
|
\(4\)
|
\(\color{red}16\)
|
\(\color{red}64\)
|
|
\(5\)
|
\(\color{red}25\)
|
\(\color{red}125\)
|
|
\(6\)
|
\(\color{red}36\)
|
\(\color{red}216\)
|
|
\(7\)
|
\(\color{red}49\) |
\(\color{red}343\)
|
|
\(8\)
|
\(\color{red}64\) | \(\color{red}512\) |
|
\(9\)
|
\(\color{red}81\) | \(\color{red}729\) |
| \(10\) |
\(\color{red}100\)
|
\(\color{red} 1\thinspace 000\)
|