Mastering Adding and Subtracting Radicals

The video tutorial by Teacher Going covers the topic of adding and subtracting radicals. It begins with an introduction to the basic rules, emphasizing that only radicals with similar radicands can be added or subtracted. The tutorial provides multiple examples, starting with simple cases and progressing to more complex ones, including cube roots. Each example is explained step-by-step, highlighting the importance of simplifying radicals and identifying similar radicands. The video concludes with a call to action for viewers to like and subscribe for more educational content.

What is the basic rule for adding or subtracting radicals?

• Radicals must be perfect squares.

• Radicals must have the same exponent.

• Radicals must have the same radicand.

• Radicals must have the same coefficient.

Which of the following pairs of radicals can be added or subtracted?

• Square root of 5 and square root of 7

• Square root of 3 and 2 square root of 3

• Square root of 2 and cube root of 2

• Fourth root of 4 and square root of 4

How do you add 7 square root of 3 and 2 square root of 3?

• Subtract the coefficients and keep the radicand the same

• Multiply the coefficients and add the radicands

• Add the radicands and keep the coefficients the same

• Add the coefficients and keep the radicand the same

What is the result of 5 square root of 8 minus 3 square root of 8?

• 2 square root of 8

• 8 square root of 8

• 2 square root of 4

• 2 square root of 16

How can you simplify the square root of 8?

• Square root of 4 times 2

• Square root of 2 times 4

• Square root of 16

• Square root of 2

What is the simplified form of 4 square root of 12?

• 8 square root of 3

• 2 square root of 3

• 2 square root of 6

• 4 square root of 3

What is the final answer for 4 square root of 12 plus 3 square root of 27 minus 2 square root of 48?

• 7 square root of 3

• 8 square root of 3

• 9 square root of 3

• 6 square root of 3

What is the simplified form of the square root of 54?

• 4 square root of 3

• 2 square root of 6

• 6 square root of 3

• 3 square root of 6

How do you combine the cube root of x and the cube root of 2x?

• Add the coefficients and keep the radicand the same

• Multiply the coefficients and add the radicands

• Combine the coefficients and radicands separately

• Subtract the coefficients and keep the radicand the same

What is the result of 2x times the cube root of 3x plus 5 times the cube root of 3x?

• 7x times the cube root of 3x

• 19x times the cube root of 3x

• 15x times the cube root of 3x

• 9x times the cube root of 3x