7th Grade Math

Chapter Study Guide and Review 67

Square Roots

Square Roots (Lesson 3A)

Find each square root.

29. √  81 30. √  324


30. FARMING The area of a farm field is
    shown. What is the length of one side of
    the square field?

A = 64,000 ft^2

EXAMPLE 7 Find the square root of 441.

21 · 21 = 441, so √ 441 = 21.

EXAMPLE 8 The area of a square ceramic

tile is 25 square inches. What is the length

of one side?

To find the side length, find √ 25.

5 · 5 = 25, so √  25 = 5

So, the side length of the square tile is

5 inches.

Estimate Square Roots (Lesson 3B)

Estimate each square root to the nearest

whole number.

32. √  26 33. √  99 34. √  48


33. √  76 36. √  19 37. √  52

Graph each square root on a number line.

38. √  61 39. √  132


39. √  444 41. √  12


40. GAMES The area of a popular square
    game puzzle is 77 square inches. What is
    the approximate length of one of the
    sides of the game board to the nearest
    whole number?

EXAMPLE 9 Estimate √ 29 to the nearest

whole number.

25 < 29 < 36 29 is between the perfect

squares 25 and 36.

√ 25 < √  29 < √  36 Find the square root of each number.

5 < √  29 < 6 √  25 = 5 and √ 36 = 6

So, √29 is between 5 and 6.

Check Use a number line.

456

25 29 36

Since 29 is closer to 25 than to 36, the best

whole number estimate is 5. ✓

Lesson 3

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