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Radicals and Pythagorean Theorem

Radicals and Pythagorean Theorem

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

Mr. Bullock's lesson covers simplifying radicals, applying the Pythagorean theorem, and using the distance formula. He begins by breaking down square roots into prime factors, then applies the Pythagorean theorem to find the hypotenuse of right triangles with non-perfect squares. Finally, he explains the distance formula, showing how it derives from the Pythagorean theorem and how to apply it to find the distance between two points on a coordinate plane.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of this lesson?

Understanding radicals and the Pythagorean theorem

Simplifying fractions

Learning about algebraic expressions

Studying calculus concepts

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the prime factorization of 75?

5 x 5 x 3

3 x 3 x 5

2 x 5 x 5

7 x 5 x 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the simplified form of √75?

15√5

3√5

5√3

√15

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a factorization of 300?

2 x 2 x 3 x 5 x 5

3 x 3 x 5 x 5

2 x 2 x 2 x 5 x 5

2 x 3 x 3 x 5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of √300?

5√6

10√3

15√2

20√5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Pythagorean theorem formula?

a^2 = b^2 + c^2

a + b = c^2

a^2 + b^2 = c^2

a^2 + b^2 = c

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If one side of a right triangle is 5 and the hypotenuse is 10, what is the length of the other side?

5

15

10

5√3

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