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23 votes
23 votes
Simplify square root of 50 over 36

User Anthony Mills
by
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1 Answer

5 votes
5 votes
Step-by-step explanation:

Consider the following expression:


\sqrt{(50)/(36)}

simplifying the radicand of the square root, we get


\sqrt{(25)/(18)}

Applying the properties of rational exponents, we get:


(√(25))/(√(18))\frac{}{}=(5)/(√(3^2\cdot2))

this is equivalent to:


(5)/(√(3^2\cdot2))=(5)/(3√(2))

we can conclude that the correct answer is:

Answer:
(5)/(3√(2))

User Natalie Perret
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3.1k points