Give examples of composite radicals.

In mathematics, a composite radical is a square root, cube root, or higher root of a number that cannot be simplified further. In other words, the number inside the radical contains factors other than just a perfect square or a perfect cube. Here are some examples of composite radicals:

√18 (Square root of 18):
√18 cannot be simplified further since it contains factors of 2 and 9 (2 x 9 = 18), and 9 is not a perfect square.

∛50 (Cube root of 50):
∛50 cannot be simplified further since it contains factors of 2 and 25 (2 x 25 = 50), and 25 is not a perfect cube.

√75 (Square root of 75):
√75 cannot be simplified further since it contains factors of 3 and 25 (3 x 25 = 75), and 25 is not a perfect square.

∛108 (Cube root of 108):
∛108 cannot be simplified further since it contains factors of 2 and 54 (2 x 54 = 108), and 54 is not a perfect cube.

√98 (Square root of 98):
√98 cannot be simplified further since it contains factors of 2 and 49 (2 x 49 = 98), and 49 is not a perfect square.

These are just a few examples of composite radicals. In general, any square root, cube root, or higher root of a number that cannot be further simplified into an integer is considered a composite radical.