Radical Expressions

Simplifying Radical Expressions

100

sqrt(25x^6)

5x^3

200

Find the square root of 180

what is the square root of 180

300

sqrt(18x^7)

3x^3sqrt(2x)

400

Find the product:  square root of 5  times the square root of 10

5 times the square root of 2

500

find the square root of 56xy¹⁰ z⁵

2y⁵z²     times the square root of 14xz

Adding & Subtracting Radical Expressions

100

9sqrt(3) + 2sqrt(3)

11sqrt(3)

300

What is sum of........8 times the sq. root of 3   and       5 times the square root of 3

13  times the sq. root of 3

500

3sqrt(32)+2sqrt(50)

22sqrt(2)

Multiply Radical Expressions

100

7sqrt(3)*sqrt(3)

21

200

3sqrt(9x^2) * 2sqrt(9y^5)

54xy^2sqrt(y)

300

sqrt(xy)*sqrt(4xy)

2xy

400

7sqrt(3y^2)*2sqrt(6x^3y)

42xysqrt(2xy)

Multiplying Binomial Radical Expressions

100

sqrt(5)(sqrt(2)-3sqrt(5))

sqrt(10)-15

200

(1+4sqrt(10))(2-sqrt(10))

-38+7sqrt(10)

Pythagorean Theorem

100

Pythagorean theorem can only be applied to what type of triangle?

Right

200

In  a right triangle,  the side opposite the right angle is called the .....

hypotenuse

300

Will the lengths of 30, 40, and 50 formed a right triangle?

yes

400

Suppose a sailboat has a sail thats a right triangular shape and the longest side of the sail is 30 feet long and the shortest side is 14 feet long.  find the height of the sail 

about 26.53 ft

500

Each side of a cube is 5 inches long.   find the length of a diagonal of the cube

about 8.66 inches or   5 times the sq.root 3

Mr A Mystery

100

What sport did Mr. A play in college

Futbol

200

What is Mr A's sons name?

LUCA

300

What is Mr A's second favorite type of candy?

Reeces PB Cups

400

What is Mr. A's Birthday

April 3

500

What state is the Albanese Gummy Bear Factory in ?

Indiana