Simplifying a radical expression with four radicals, root(5)+root(20)-root(27)+root(147)

The video tutorial explains how to simplify radical expressions by using the golden rule, which involves expressing numbers as square numbers to cancel out radicals. It provides examples of simplifying radicals like radical 5 and radical 20, and demonstrates how to combine like terms in radical expressions. The tutorial emphasizes careful organization and understanding of the process to achieve accurate results.

What is the golden rule for simplifying a radical?

• Square numbers cannot be used in radicals

• Radicals cannot be simplified

• The square root of any number squared is the number itself

• Any number squared equals zero

How can radical 20 be simplified?

• As radical 2 times radical 10

• As radical 4 times radical 5

• As radical 10 times radical 2

• As radical 5 times radical 4

Which of the following is a correct simplification of radical 27?

• Radical 9 times radical 3

• 9 times radical 3

• Radical 3 times radical 9

• 3 times radical 3

What is the result of combining 1 sqrt 5 and 2 sqrt 5?

• 1 sqrt 5

• 2 sqrt 5

• 4 sqrt 5

• 3 sqrt 5

What is the final simplified form of -sqrt 3 + 7 sqrt 3?

• 5 sqrt 3

• 4 sqrt 3

• 3 sqrt 3

• 6 sqrt 3