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How do you simplify #sqrt(7/9)*sqrt(4/7)#?

Answer 1

Eli Assouline

#= pm 2/3#

#sqrt(7/9)*sqrt(4/7)#

#= sqrt(cancel7/9 cdot 4/cancel7)#

#= pm 2/3#

NB : These are the square roots. The principal (or positive) square root is # 2/3#.

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Answer 2

Ethan Adkins

To simplify sqrt(7/9)sqrt(4/7), you can multiply the two square roots together. This gives you sqrt((7/9)(4/7)). Simplifying the expression inside the square root, you get sqrt(28/63). To simplify further, you can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7. This results in sqrt(4/9). Finally, simplifying the square root of 4/9 gives you 2/3. Therefore, sqrt(7/9)*sqrt(4/7) simplifies to 2/3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.