Question

A radical (square root of a number) is said to be in "simplest form" when all perfect squares have been factored out and simplified. What are the first 20 perfect squares? Type them below.

A) 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400
B) 2, 5, 10, 17, 26, 37, 50, 65, 82, 101, 122, 145, 170, 197, 226, 257, 290, 325, 362, 401
C) 1, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152
D) 3, 6, 12, 18, 27, 38, 51, 66, 83, 102, 123, 146, 171, 198, 227, 258, 291, 326, 363, 402

Answer 1

The first 20 perfect squares are the squared numbers of the first 20 positive integers, and the correct set from the options provided is A) 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400.

Step-by-step explanation:

The first 20 perfect squares are numbers that result from squaring the integers from 1 to 20. These numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, and 400. Therefore, the correct set of numbers that represent the first 20 perfect squares from the choices provided is option A).

Remember, a perfect square is a number that can be expressed as the product of an integer with itself. For instance, 5 squared (written as 5²) is a perfect square since 5² = 5 x 5 = 25. Simplifying radicals involves factoring out perfect squares and reducing them to their simplest form.