Squares and Square Roots in MCAT Style Questions

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MCAT Math tutorial video on squares and square rootsThe MCAT, especially the physical sciences section will require you to solve numerous equations and work through different calculations. While many of the math tricks I teach are simply ‘shortcuts’ teaching you a faster way to solve a given question, math tricks are even more important when it comes to squares and square roots on the MCAT.

Sure you can multiply a number by itself to find its square, but this can be time consuming and quite tedious. And square roots, these are much more difficult to solve without a calculator, especially when the numbers are presented in scientific notation with very larger or very small powers.

The video below shows you my math tricks for solving MCAT style squares and square roots without a calculator.

MCAT Math – Squares and Square Roots

(click here to watch on YouTube or catch the video transcript here)

MCAT Questions Solved in this video:

Utilizing Square Roots: Find the hydronium ion concentration in 0.05 molar solution of acetic acid given an acid dissociation constant of 1.8×10^-5.

Utilizing Squares: Find the maximum height a feather can reach f it takes off the ground with an initial velocity of 9.3 x 10^-4 m/s. Ignore air resistance.


Need additional MCAT style math practice? Click HERE for my FREE MCAT Math Quiz

This is video 5 in my series on MCAT Math Without A Calculator. Click HERE for the entire series


  1. You’ve been so helpful for my MCAT studying. I’ve relied on using a calculator for far too long, and have forgotten how to do some of the basic math tricks I used to know. Thanks for making these videos free to view. It has made my life much easier, so thank you so very much!

    • Leah4sci says:

      Thanks for the feedback James. I’m glad to know that these videos are helping you. The key is to look for logical patterns and trust your brain instead of a calculator

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