Simplifying Square Roots

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Simplifying Square Roots

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1 Simplifying Square Roots Elementary Mathematics Physics Mathematics

The thing about a square root of a fraction is that sqrt 35 9 sqrt 35 sqrt 9 in other words the square root of the entire fraction is the same as the square root of the numerator divided by the square root of the denominator With that in mind we can simplify the fraction sqrt 35 3 1. Understand factoring. The goal of simplifying a square root is to rewrite it in a form that is easy to understand and to use in math problems. Factoring breaks down a large number into two or more smaller factors, for instance turning 9 into 3 x 3.

Square Roots With Variables Simplifying Math YouTube

Simplifying Square RootsUse the Quotient Property to Simplify Square Roots. Whenever you have to simplify a square root, the first step you should take is to determine whether the radicand is a perfect square. A perfect square fraction is a fraction in which both the numerator and the denominator are perfect squares. Simplifying square roots Example Let s simplify 75 by removing all perfect squares from inside the square root We start by factoring 75 looking for a perfect square 75 5 5 3 5 2 3 We found one This allows us to simplify the radical 75 5 2 3 5 2 3 5 3 So 75 5 3 Want another example like this

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