## 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 …

## Math: simplifying fractions with radicals

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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## Math: radicals: rationalizing the denominator

Tutoring math, you cover this topic with students in late middle school or early high school.  The math tutor shows the first case. This article assumes that the reader is familiar with multiplying radicals. If necessary, see my article here …

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