Simplifying Expressions with Surds

What is the first step in simplifying an expression with surds?

• Multiply all terms by 2

• Identify and simplify each surd term

• Convert all surds to decimals

• Add all terms together

When multiplying two surds, what should you do with the numbers inside the root signs?

• Multiply them

• Subtract them

• Divide them

• Add them

Why can't you add root 13 and root 6 directly?

• They are not whole numbers

• They are not in the same form

• They are already simplified

• The numbers inside the roots are different

What is the result of multiplying root 7 by itself?

• Root 14

• Root 49

• 7

• 49

How do you simplify the square root of 125?

• Root 25 times root 5

• Root 125

• 5 root 5

• Root 25 plus root 5

What is the simplified form of 2 root 45?

• 2 root 5

• 3 root 5

• 6 root 5

• 9 root 5

What is the result of expanding (root 5 + 2)^2?

• 9 + 2 root 5

• 5 + 2 root 5 + 4

• 9 + 4 root 5

• 5 + 4 root 5 + 4

What is the final simplified form of the expression in the video?

• 3 root 5 + 9

• 3 + 9 root 5

• 9 + 3 root 5

• 9 root 5 + 3

What is the simplified form of root 48?

• 4 root 3

• 8 root 3

• 2 root 3

• 6 root 3

In the quick example, what is the final form of the expression?

• 14 root 3 + 3

• 3 + 14 root 3

• 14 + 3 root 3

• 3 root 3 + 14