Radical Expressions and Square Roots

This video tutorial explains how to apply the Pythagorean theorem with radicals. It begins with an introduction to radicals and the Pythagorean theorem formula. The video then provides several examples, solving for unknown sides in right triangles using the theorem. Each example is explained step-by-step, demonstrating how to handle square roots and calculations. The video concludes with additional practice problems and encourages viewers to subscribe for more content.

What is a radical expression?

• An expression with a square root or cube root

• An expression with only whole numbers

• An expression with only exponents

• An expression with only fractions

What is the formula for the Pythagorean theorem?

• a + b = c

• a^2 - b^2 = c^2

• a^2 + b = c^2

• a^2 + b^2 = c^2

In the first problem, what is the value of x if the equation is √6^2 + √15^2 = x^2?

• √21

• 21

• √6

• √15

How do you solve for x in the equation x^2 = 21?

• x = √21

• x = 42

• x = 10.5

• x = 21

What is the square root of 21?

• √21

• 21

• √20

• 20

What is the square root of 6?

• 5

• √6

• 6

• √5

In the second problem, what is the value of b if the equation is √6^2 + b^2 = 4^2?

• 4

• 10

• √10

• 16

What is the result of subtracting 6 from both sides in the equation 6 + b^2 = 16?

• b^2 = 6

• b^2 = 16

• b^2 = 22

• b^2 = 10

What is the square root of 10?

• 9

• √9

• √10

• 10

In the third problem, what is the value of c if the equation is √5^2 + √7^2 = c^2?

• 12

• √12

• 11

• √11