Solve the following exercise:
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Solve the following exercise:
We can simplify the expression without using the laws of exponents, because the expression has known square roots, so let's simplify the expression and then perform the multiplication:
Therefore, the correct answer is answer D.
Solve the following exercise:
\( \sqrt{\frac{2}{4}}= \)
Not always! When you have perfect squares like 100 and 25, it's much easier to simplify each square root first. Only use the property when the individual square roots don't simplify nicely.
A perfect square has a whole number square root. Common perfect squares include: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. If you're unsure, try finding what number times itself equals your value!
That's the same answer! because 50 × 50 = 2500. However, it's much easier to recognize that √100 = 10 and √25 = 5 than to calculate √2500.
Yes! For example, . The property √a × √b = √(ab) works for all positive numbers, but it's especially useful when the result is a perfect square.
Because we can simplify completely! (exactly) and (exactly), so 10 × 5 = 50. We don't need a square root symbol in our final answer.
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