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Square Roots of Perfect Squares — Easy Worksheet 1
Grade 8 · Whoobee Name: ____________________ Date: __________
Evaluate each square root. For x^2 = p, give both solutions, like x = 9 or x = -9.
How to solve
The square root of a number is the number that times itself makes it: √49 = 7 because 7 × 7 = 49. A minus sign in front stays in the answer: -√81 = -9. For a fraction, take the root of the top and the bottom: √(916) = 34. For a decimal, think of the digits without the point and halve the decimal places: √0.25 = 0.5 because 0.5 × 0.5 = 0.25. The equation x2 = 81 has two solutions, x = 9 or x = -9, because (-9) × (-9) = 81 too.
Example
Evaluate: √100
Answer: 10
Not quite. The answer is
💡 10 × 10 = 100, so √100 = 10.
✓ Correct!
Not quite. The answer is
💡 10 × 10 = 100, so √100 = 10.
💡 How to solve: Square Roots of Perfect Squares
The square root of a number is the number that times itself makes it: √49 = 7 because 7 × 7 = 49. A minus sign in front stays in the answer: -√81 = -9. For a fraction, take the root of the top and the bottom: √(916) = 34. For a decimal, think of the digits without the point and halve the decimal places: √0.25 = 0.5 because 0.5 × 0.5 = 0.25. The equation x2 = 81 has two solutions, x = 9 or x = -9, because (-9) × (-9) = 81 too.
Try a similar one
Evaluate: √1
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 3 × 3 = 9, so √9 = 3.
✓ Correct!
Not quite. The answer is
💡 3 × 3 = 9, so √9 = 3.
💡 How to solve: Square Roots of Perfect Squares
The square root of a number is the number that times itself makes it: √49 = 7 because 7 × 7 = 49. A minus sign in front stays in the answer: -√81 = -9. For a fraction, take the root of the top and the bottom: √(916) = 34. For a decimal, think of the digits without the point and halve the decimal places: √0.25 = 0.5 because 0.5 × 0.5 = 0.25. The equation x2 = 81 has two solutions, x = 9 or x = -9, because (-9) × (-9) = 81 too.
Try a similar one
Evaluate: √16
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 1 × 1 = 1, so √1 = 1.
✓ Correct!
Not quite. The answer is
💡 1 × 1 = 1, so √1 = 1.
💡 How to solve: Square Roots of Perfect Squares
The square root of a number is the number that times itself makes it: √49 = 7 because 7 × 7 = 49. A minus sign in front stays in the answer: -√81 = -9. For a fraction, take the root of the top and the bottom: √(916) = 34. For a decimal, think of the digits without the point and halve the decimal places: √0.25 = 0.5 because 0.5 × 0.5 = 0.25. The equation x2 = 81 has two solutions, x = 9 or x = -9, because (-9) × (-9) = 81 too.
Try a similar one
Evaluate: √49
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 5 × 5 = 25, so √25 = 5.
✓ Correct!
Not quite. The answer is
💡 5 × 5 = 25, so √25 = 5.
💡 How to solve: Square Roots of Perfect Squares
The square root of a number is the number that times itself makes it: √49 = 7 because 7 × 7 = 49. A minus sign in front stays in the answer: -√81 = -9. For a fraction, take the root of the top and the bottom: √(916) = 34. For a decimal, think of the digits without the point and halve the decimal places: √0.25 = 0.5 because 0.5 × 0.5 = 0.25. The equation x2 = 81 has two solutions, x = 9 or x = -9, because (-9) × (-9) = 81 too.
Try a similar one
Evaluate: √1
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 6 × 6 = 36, so √36 = 6.
✓ Correct!
Not quite. The answer is
💡 6 × 6 = 36, so √36 = 6.
💡 How to solve: Square Roots of Perfect Squares
The square root of a number is the number that times itself makes it: √49 = 7 because 7 × 7 = 49. A minus sign in front stays in the answer: -√81 = -9. For a fraction, take the root of the top and the bottom: √(916) = 34. For a decimal, think of the digits without the point and halve the decimal places: √0.25 = 0.5 because 0.5 × 0.5 = 0.25. The equation x2 = 81 has two solutions, x = 9 or x = -9, because (-9) × (-9) = 81 too.
Try a similar one
Evaluate: √9
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 4 × 4 = 16, so √16 = 4.
✓ Correct!
Not quite. The answer is
💡 4 × 4 = 16, so √16 = 4.
💡 How to solve: Square Roots of Perfect Squares
The square root of a number is the number that times itself makes it: √49 = 7 because 7 × 7 = 49. A minus sign in front stays in the answer: -√81 = -9. For a fraction, take the root of the top and the bottom: √(916) = 34. For a decimal, think of the digits without the point and halve the decimal places: √0.25 = 0.5 because 0.5 × 0.5 = 0.25. The equation x2 = 81 has two solutions, x = 9 or x = -9, because (-9) × (-9) = 81 too.
Try a similar one
Evaluate: √4
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 7 × 7 = 49, so √49 = 7.
✓ Correct!
Not quite. The answer is
💡 7 × 7 = 49, so √49 = 7.
💡 How to solve: Square Roots of Perfect Squares
The square root of a number is the number that times itself makes it: √49 = 7 because 7 × 7 = 49. A minus sign in front stays in the answer: -√81 = -9. For a fraction, take the root of the top and the bottom: √(916) = 34. For a decimal, think of the digits without the point and halve the decimal places: √0.25 = 0.5 because 0.5 × 0.5 = 0.25. The equation x2 = 81 has two solutions, x = 9 or x = -9, because (-9) × (-9) = 81 too.
Try a similar one
Evaluate: √100
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 9 × 9 = 81, so √81 = 9.
✓ Correct!
Not quite. The answer is
💡 9 × 9 = 81, so √81 = 9.
💡 How to solve: Square Roots of Perfect Squares
The square root of a number is the number that times itself makes it: √49 = 7 because 7 × 7 = 49. A minus sign in front stays in the answer: -√81 = -9. For a fraction, take the root of the top and the bottom: √(916) = 34. For a decimal, think of the digits without the point and halve the decimal places: √0.25 = 0.5 because 0.5 × 0.5 = 0.25. The equation x2 = 81 has two solutions, x = 9 or x = -9, because (-9) × (-9) = 81 too.
Try a similar one
Evaluate: √16
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Square Roots of Perfect Squares — Easy Worksheet 1
Evaluate each square root. For x^2 = p, give both solutions, like x = 9 or x = -9.