Math: approximating a square root (no calculator)

The tutor returns to a “favourite” topic of high school math. High school math students may soon be posed a question similar to the following: Estimate to one decimal place, without a calculator, the square root of 55. Note that …

Math: simplifying a fifth root

Tutoring high school math, radicals are prominent.  The tutor offers an example of simplifying a higher radical. I’ve written a number of articles on simplifying radicals. I won’t encumber this one with a list of the previous ones, but you …

Tutoring high school math, you work with radicals.  The tutor discusses simplifying fractions with radicals. I’ve written several articles about working with radicals; you’ll find them by keying “radicals” in the search box. Ones that might be helpful towards this …

Math: Simplifying a radical (aka root) expression

For this math tutor, the end-of-semester rush is about to end. Tutoring for exam prep, you tend to return to those “messy” problems students would rather avoid…. Radical expressions are among the most difficult topics in high school math. Let’s …

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Math: simplification with a rational exponent

Tutoring math, this topic is perennial.  The math tutor works an example. Imagine you are posed the following question: Simplify 32^(6/5) First, realize the following: 32^(6/5)=5√(32)^6 5√(32)=2, since 2*2*2*2*2 = 2^5 = 32. Therefore, 32^(6/5)=5√(32)^6=2^6=64 So 32^(6/5)=64. I’ll be saying …

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Tutoring high school math, radicals are prominent.  The math tutor introduces addition and subtraction of them. Adding radicals is much like adding variables. Note that x=1x; the 1 is understood to be there, but never written. Similarly, √3=1√3. Therefore, 2√5 …

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