Estimating Square and Cube Roots with Fractions

What is the focus of this video tutorial?

• Estimating square roots and cube roots to the nearest fraction

• Estimating square roots and cube roots to the nearest decimal

• Learning about perfect squares and cubes

• Calculating exact square roots and cube roots

What is the first step in estimating a square root?

• Finding the perfect square numbers between which the number falls

• Multiplying the number by the nearest perfect square

• Subtracting the number from the nearest perfect square

• Dividing the number by the nearest perfect square

What is the numerator in the mixed number when estimating a square root?

• The square root of the smaller perfect square

• The difference between the number and the smaller perfect square

• The difference between the larger and smaller perfect squares

• The square root of the larger perfect square

Which perfect square numbers does 18 fall between?

• 16 and 25

• 4 and 9

• 9 and 16

• 25 and 36

What is the estimated square root of 75?

• 6 and 9/17

• 9 and 12/17

• 7 and 10/17

• 8 and 11/17

What is the main difference when estimating cube roots compared to square roots?

• Estimating to the nearest hundredth

• Using a different subtraction method

• Using a calculator for all calculations

• Using perfect cube numbers instead of perfect square numbers

What is the cube root of the smaller perfect cube number used in the example of estimating the cube root of 14?

• 4

• 3

• 2

• 1

Which perfect cube numbers does 14 fall between?

• 64 and 125

• 27 and 64

• 8 and 27

• 1 and 8

What is the estimated cube root of 100?

• 6 and 38/61

• 5 and 37/61

• 4 and 36/61

• 3 and 35/61

What should you do if the fraction in your mixed number can be reduced?

• Add it to the smaller perfect square

• Multiply it by the larger perfect square

• Reduce it to its simplest form

• Leave it as it is