Question - Finding Equivalent Expression for the Square Root
Solution:
To find another name for the square root expression given, we should look for an expression that is mathematically equivalent.The original expression is:$$ \sqrt{\frac{B}{J}} $$We're looking for an alternative expression that has the same value. Multiplying or dividing both the numerator and the denominator by the same nonzero number will keep the fraction equivalent. When we take the square root of a fraction, we can take the square root of the numerator and the denominator separately. Therefore, the expression can also be written as:$$ \frac{\sqrt{B}}{\sqrt{J}} $$This corresponds to option C in the image provided:C) $$ \frac{\sqrt{B}}{\sqrt{J}} $$
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