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Question
i need to simply leaving the denominator rational
10squareroot3 divided by squareroot of 5
surds
i cant work out the steps
Hello Pasqualina,
Given [10*sqrt(3) / sqrt(5)], we can multiply both the numerator and denominator by sqrt(5) without changing the ratio represented by this fraction. After all, multiplying a number by sqrt(5)/sqrt(5) is the same as multiplying the number by 1; this does not change its magnitude.
Now, we can write [10*sqrt(3) / sqrt(5)] * [sqrt(5)/sqrt(5)] as [10*sqrt(3)*sqrt(5)] /[ sqrt(5)*sqrt(5)]. The bottom part becomes 5. The top part is 10*sqrt(3*5) = 10*sqrt(15)
Ans: Simplifying 10 sqrt(15)/5, we get 2 sqrt(15)
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Josh
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When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.
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