Simplifying Radicals and Perfect Squares

This video tutorial covers square and cube roots, including their symbols and how to input them in Desmos. It explains creating lists of perfect squares and cubes, simplifying radicals, and identifying expressions in simplest radical form. The tutorial also demonstrates handling variables in radicals and performing operations like addition, subtraction, and multiplication with radicals.

What is the symbol for a square root?

• A radical without any index

• A radical with a small 2

• A small 3 inside a radical

• A radical with a small 4

How do you input a cube root in Desmos?

• Click miscellaneous, then square root

• Click nth root, then type 2

• Click functions, then nth root, and type 3

• Click keyboard, then square root

What is the purpose of creating lists of perfect squares and cubes in Desmos?

• To simplify radicals

• To calculate derivatives

• To graph functions

• To solve linear equations

Which of the following is a perfect square?

• 20

• 18

• 16

• 8

What is the simplest radical form of a number?

• When it is a fraction

• When it is a decimal

• When it has no perfect squares or cubes under the radical

• When it is a whole number

How do you simplify the square root of 24 using Desmos?

• Type 24 and divide by 2

• Type square root of 24 and find its prime factors

• Type 24 and find its factors

• Type square root of 24 and compare decimals

Which expression is in simplest radical form?

• Square root of 2

• Square root of 50

• Square root of 8

• Square root of 18

What is the cube root of 875 equivalent to?

• Cube root of 245

• 5 cube root of 7

• Cube root of 35

• Cube root of 1715

What must be true to add or subtract radicals?

• They must have the same coefficient

• They must have the same radicand

• They must be whole numbers

• They must be decimals

How do you multiply square roots?

• Add the coefficients and the radicands

• Multiply the coefficients and add the radicands

• Add the coefficients and multiply the radicands

• Multiply the coefficients and the radicands