Simplify the expression $\sqrt{\left(\frac{1}{1666}\right)}\frac{\frac{\frac{743}{500}}{\frac{2}{125}}\left(2y^2+10y\right)^{\frac{5}{3}}}{\sqrt[3]{\left(10+2\sqrt{5}y\right)^{2}}}-225$
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Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ((743/500)/2/125(2y^2+10y)^(5/3))/((10+25^1/2y)^2/3)1/1666^1/2-225. Divide 743 by 500. Divide 1.486 by \frac{2}{125}. Divide 5 by 3. Calculate the square root of 5.
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more
The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.