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How to Multiply Square roots?

Answer: To multiply square roots, multiply the numbers inside the square roots together and simplify if possible.

Explanation:

To multiply square roots, follow these steps:

  1. Multiply the numbers inside the square roots: Multiply the numbers or expressions inside the square roots together. If there are variables or constants inside the square roots, multiply them as you would normally.
  2. Combine the terms: If there are like terms inside the square roots, combine them. For example, if you have √(a) * √(a), it equals √(a * a) = √(a^2).
  3. Simplify the result: If possible, simplify the expression further. This may involve simplifying any perfect squares or reducing the expression to its simplest form.

For example, let’s multiply √(3) by √(5):



  1. Multiply the numbers inside the square roots: √(3) * √(5) = √(3 * 5) = √(15).
  2. There are no like terms to combine in this case.
  3. √(15) is the simplified result. Since 15 is not a perfect square, we cannot simplify it further.

Another example, let’s multiply √(4) by √(9):

  1. Multiply the numbers inside the square roots: √(4) * √(9) = √(4 * 9) = √(36).
  2. There are no like terms to combine.
  3. √(36) simplifies to 6, because 36 is a perfect square (6 * 6 = 36).

In summary, to multiply square roots, simply multiply the numbers inside the square roots together and simplify the result if possible.



Article Tags :
Mathematics
Maths MAQ
School Learning
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