Simplifying Square Roots with the Twin Method

The video tutorial by Miss Pair focuses on simplifying radicals. It begins with an introduction to radicals, explaining the radical symbol, index, and radicand. The tutorial then demonstrates simplifying radicals using perfect squares and introduces the prime factorization method. Examples include simplifying the square roots of 32 and 270, using factor trees and identifying perfect squares. The video emphasizes understanding the twin method and the importance of number sense and divisibility rules.

What is the assumed index if no number is shown in the radical symbol?

• 4

• 1

• 2

• 3

What is the term for the number or expression inside the radical symbol?

• Exponent

• Base

• Index

• Radicand

What is the square root of 25?

• 3

• 5

• 4

• 6

In the prime factorization method, what happens when you multiply a radical by itself?

• The radical sign remains

• The radical sign disappears

• The exponent doubles

• The index changes

What is the first step in simplifying the square root of 32 using the prime factorization method?

• Finding the square root directly

• Breaking it into prime factors

• Dividing by 2

• Adding the digits

How many sets of twins (pairs of the same number) are there in the prime factorization of 32?

• 3

• 2

• 1

• 4

What is the simplified form of the square root of 32?

• 4√2

• 16√2

• 2√2

• 8√2

What is the prime factorization of 270?

• 2 x 3 x 3 x 5

• 2 x 3 x 3 x 3 x 5

• 2 x 3 x 3 x 3 x 5 x 5

• 2 x 3 x 3 x 3 x 3 x 5

What is the simplified form of the square root of 270?

• 12√30

• 3√30

• 6√30

• 9√30

What will the next video introduce?

• A different method for simplifying radicals

• A review of the current method

• An advanced topic in algebra

• A new topic