Simplifying Square Roots in Algebra 1

In this video tutorial, Mr. Bean introduces the concept of radicals and perfect squares, emphasizing the importance of memorizing perfect squares from 1 to 12. The lesson covers estimating square roots without a calculator, using inequalities to approximate values. Two methods for simplifying radicals are demonstrated: dividing by perfect squares and using prime factors. The tutorial also explains how to multiply and simplify radicals, highlighting the usefulness of prime factors. Finally, the video covers addition and subtraction of radicals, focusing on combining like terms.

What is a perfect square?

• A number that is a multiple of 10

• A number that can be divided by 2

• A number that is a prime number

• A number that is the product of a number multiplied by itself

What is the square root of 16?

• 2

• 5

• 3

• 4

Which two perfect squares is the square root of 10 between?

• 1 and 4

• 4 and 9

• 9 and 16

• 16 and 25

Estimate the square root of 90.

• 11.5

• 8.5

• 10.5

• 9.5

What is the prime factorization of 50?

• 10 x 5

• 5 x 10

• 2 x 25

• 5 x 5 x 2

What is the simplified form of the square root of 50?

• 25√2

• 10√5

• 5√2

• 2√25

What is the result of multiplying 5√2 and 2√7?

• 10√14

• 7√10

• 14√10

• 10√7

Simplify 4√6 * √24.

• 8√3

• 48

• 12√2

• 24√3

What is the sum of 3√2 and 2√2?

• 6√2

• 5√3

• 5√2

• 5√4

Simplify 6√3 - √3.

• 5√2

• 7√3

• 5√3

• 6√2