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Multiplying and Dividing Square Roots

Learn how to multiply and divide square roots, like 4.8×10\sqrt{4.8} \times \sqrt{10} and 36÷25\sqrt{36} \div \sqrt{25}, and simplify the result using rules. Let’s get started! 🚀

Multiplying and Dividing Square Roots - introduction visual

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Simplifying roots calculations for multiplication and division, with conditions for a and b.Examples of multiplying and dividing square roots with steps: square root of 18 simplified, and square root of 4.8 times square root of 10 solved.Multiplication and division of square roots with examples. Square root of 36 divided by 25 equals 1.2, and square root of 50 divided by 2 equals 5.

🛎️ Square Root Rules: Multiply and Divide

  • To multiply square roots, a×b=ab\sqrt{a}\times\sqrt{b}=\sqrt{ab}.
  • To divide square roots, ab=ab\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}.

🛎️ Multiplying Square Roots

  • Example 1: 18=9⋅2=32\sqrt{18}=\sqrt{9\cdot2}=3\sqrt{2}.
  • Example 2: 4.8×10=48=43\sqrt{4.8}\times\sqrt{10}=\sqrt{48}=4\sqrt{3}.

🛎️ Dividing Square Roots

  • Example 1: 3625=3625=65=1.2\sqrt{\frac{36}{25}}=\frac{\sqrt{36}}{\sqrt{25}}=\frac{6}{5}=1.2.
  • Example 2: 502=502=25=5\frac{\sqrt{50}}{\sqrt{2}}=\sqrt{\frac{50}{2}}=\sqrt{25}=5.

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