Example 2: Simplify each of the following radicals by finding its greatest perfect square
or perfect cube.
a) √ 54
b) √ 120
c) √ 252
3
d) 2 √ 72
e) 3 √ 128
f) √ 16
3
3
4
g) √ 54
h) √ 128
i) √ 32
Practice Questions: Page 218 # 4(d – g), 10 (b, d, f, h), 11(a, c, e, g, i), 17 (a, d)
Converting Mixed radicals to Entire radicals:
√ 45
3 √ 5
↔
Note: Raise the coefficient to the value of the index and
move it inside the radical sign, then multiply it by the
radicand.