Number Squares and Square Root

If the length of the diagonal of a square is 20 inches, find the area of the square.

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200inch

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William and Noah are friends. William’s age is two more than the square root of the age of

Noah’s father. If Noah’s father is 64 years old, find the age of William.

Find the square roots of the following decimal numbers

1056.25,

10020.01

Two numbers are in the ratio 11: 15 and the sum of their squares is 650, find the sum of the two

numbers.

Identify the equation that has an IRRATIONAL solution.

• y² = 25

• y² = 100

• y² = 20

• y² = 81

Select all that are true about the solution to m² = 13.

• Perfect Square

• Perfect Cube

• Irrational

• Rational

Select all that are true about the solution to y² = 36.

• Perfect Square

• Perfect Cube

• Irrational

• Rational

• 9 cm

• -9 cm

• 40.5 cm

• -40.5 cm

Select all perfect squares.

• 2

• 8

• 27

• 64

• 9

The number after multiplying an integer by itself is called a perfect __________________.