Simplifying radical expressions by adding - Pass math class

The video tutorial explains how to simplify expressions with radicals, focusing on the square root of 18. It demonstrates breaking down 18 into 9 and 2, simplifying sqrt 9 to 3, and leaving sqrt 2 under the radical. The tutorial also covers combining like terms, treating sqrt 2 as a variable, and concludes with a simplified expression.

What is the first step in simplifying a radical expression?

• Identify if the number is a perfect square

• Add the number to itself

• Multiply the number by itself

• Divide the number by 2

How can the square root of 18 be simplified?

• By writing it as the square root of 3 times the square root of 6

• By writing it as the square root of 9 times the square root of 2

• By writing it as the square root of 16 times the square root of 2

• By writing it as the square root of 4 times the square root of 4.5

What is the simplified form of 3 times the square root of 2?

• 3 times the square root of 4

• 3 times the square root of 2

• 6 times the square root of 2

• 9 times the square root of 2

How do you treat radicals when adding them?

• As fractions

• As variables

• As exponents

• As whole numbers

What is the result of adding 9 times the square root of 2 and the square root of 2?

• 11 times the square root of 2

• 10 times the square root of 2

• 8 times the square root of 2

• 9 times the square root of 4