Estimating Square Roots: Techniques and Applications

What is the square root of 49?

• 7

• 6

• 42

• 49

Why do we need to estimate square roots sometimes?

• When the number is not a perfect square

• When the number is too large

• When the number is a prime number

• When the number is even

What are the square numbers closest to 34?

• 9 and 16

• 16 and 49

• 25 and 36

• 36 and 49

Between which two integers does the square root of 34 lie?

• 3 and 4

• 4 and 5

• 6 and 7

• 5 and 6

What is the square root of 25?

• 2.5

• 6

• 25

• 5

What is an approximate square root of 34?

• 5.0

• 5.8

• 5.5

• 6.0

How can a number line help in estimating square roots?

• By drawing perfect squares

• By proving mathematical theories

• By calculating exact values

• By showing distances between squares

What should you use instead of a calculator to estimate square roots?

• A scientific calculator

• Logic and reasoning

• A textbook

• Internet search

What symbol is used to denote an approximate value?

• ≠

• ≥

• ≈

• =

Why is it important to practice estimating square roots?

• To improve mathematical skills

• To write faster

• To use calculators better

• To memorize square numbers