Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

You're working on a worksheet titled “Dividing Decimal Square Roots”, which asks you to divide square roots of decimal numbers. The key idea here is to use the property of square roots:

> √a ÷ √b = √(a/b)

This means you can combine the two square roots into one by dividing the numbers inside, then take the square root of the result.

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Let’s solve each problem step by step.

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🔢 Left Column:

#### 1. √2.25 ÷ √0.04
= √(2.25 / 0.04) = √(56.25) = 7.5

*(Because 7.5 × 7.5 = 56.25)*

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#### 2. √0.81 ÷ √0.36
= √(0.81 / 0.36) = √(2.25) = 1.5

*(1.5² = 2.25)*

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#### 3. √0.01 ÷ √0.04
= √(0.01 / 0.04) = √(0.25) = 0.5

*(0.5² = 0.25)*

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#### 4. √0.09 ÷ √0.04
= √(0.09 / 0.04) = √(2.25) = 1.5

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#### 5. √0.36 ÷ √0.64
= √(0.36 / 0.64) = √(0.5625) = 0.75

*(0.75² = 0.5625)*

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#### 6. √0.64 ÷ √0.04
= √(0.64 / 0.04) = √(16) = 4

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#### 7. √1.44 ÷ √0.04
= √(1.44 / 0.04) = √(36) = 6

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#### 8. √0.49 ÷ √0.01
= √(0.49 / 0.01) = √(49) = 7

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#### 9. √0.25 ÷ √0.01
= √(0.25 / 0.01) = √(25) = 5

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#### 10. √0.81 ÷ √0.09
= √(0.81 / 0.09) = √(9) = 3

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#### 11. √1.96 ÷ √0.04
= √(1.96 / 0.04) = √(49) = 7

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#### 12. √0.09 ÷ √0.25
= √(0.09 / 0.25) = √(0.36) = 0.6

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🔢 Right Column:

#### 1. √0.25 ÷ √6.25
= √(0.25 / 6.25) = √(0.04) = 0.2

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#### 2. √0.16 ÷ √0.25
= √(0.16 / 0.25) = √(0.64) = 0.8

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#### 3. √6.25 ÷ √0.01
= √(6.25 / 0.01) = √(625) = 25

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#### 4. √0.36 ÷ √0.64
= √(0.36 / 0.64) = √(0.5625) = 0.75

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#### 5. √0.16 ÷ √0.64
= √(0.16 / 0.64) = √(0.25) = 0.5

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#### 6. √5.76 ÷ √0.04
= √(5.76 / 0.04) = √(144) = 12

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#### 7. √7.84 ÷ √0.49
= √(7.84 / 0.49) = √(16) = 4

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#### 8. √0.25 ÷ √0.04
= √(0.25 / 0.04) = √(6.25) = 2.5

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#### 9. √3.24 ÷ √0.04
= √(3.24 / 0.04) = √(81) = 9

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#### 10. √6.25 ÷ √0.25
= √(6.25 / 0.25) = √(25) = 5

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#### 11. √4.41 ÷ √0.09
= √(4.41 / 0.09) = √(49) = 7

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#### 12. √0.09 ÷ √0.16
= √(0.09 / 0.16) = √(0.5625) = 0.75

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## ✔ Final Answers (Left to Right, Top to Bottom):

Left Column:

7.5, 1.5, 0.5, 1.5, 0.75, 4, 6, 7, 5, 3, 7, 0.6

Right Column:

0.2, 0.8, 25, 0.75, 0.5, 12, 4, 2.5, 9, 5, 7, 0.75

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## 📝 Tip for Future Problems:

Always remember:
√a ÷ √b = √(a/b) — this simplifies decimal square root division into one square root of a quotient. Then, if the quotient is a perfect square (or its square root is easy), you can compute it directly.

You can also simplify before taking the square root — e.g., convert decimals to fractions:

Example:
√0.25 ÷ √0.04 = √(25/100) ÷ √(4/100) = (√25 / √100) ÷ (√4 / √100) = (5/10) ÷ (2/10) = 5/2 = 2.5

Same answer!

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✔ You’re all set! Just fill in the boxes with the answers above. Let me know if you want them formatted for printing or checking.