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Why is this concept useful?: Simplifying answers following the same rules helps everyone come up with the same answer.
Where does this concept fit into the curriculum?: Simplifying Radical expressions are used in the real world in architecture, carpentry and masonry.

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How can we use the concept:

Simplifying Radical expressions are used in the real world in architecture, carpentry and masonry.

Sample Math Problems

1. Simplify the following expressions.

\sqrt{144} =\sqrt{12\times 12} =12

This is considered a perfect square.

2.

\sqrt{20} =\sqrt{4\times 5} =2\sqrt{5}

3.

\sqrt{27x^{4}} =\sqrt{9\times 3\times X\times X\times X\times X} =3x^{2}\sqrt{3}

4.

\sqrt{\frac{25x^{4} y^{7}}{4x^{3} y^{2}}} =\frac{\sqrt{25x^{4} y^{7}}}{\sqrt{4x^{3} y^{2}}} =\frac{5x^{2} y^{3}\sqrt{y}}{2xy\sqrt{x}} =\frac{5xy^{2}\sqrt{y}}{2\sqrt{x}}

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$8 Math Hacks and Tricks to Turn Your 'Okay' Math Student Into a Math Champion!$

8 Math Hacks and Tricks to Turn Your 'Okay' Math Student Into a Math Champion!

One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.

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Practice Math Problems

1.

\sqrt{529}

2.

\sqrt{65}

3.

\sqrt{80y^{6}}

4.

\sqrt{\frac{100x^{5} y^{3}}{9a^{8} b^{2}}}

Since 20 isn't a perfect square we have to factor out the perfect square and leave what we weren’t able to simplify under the radical.

Here, we factored out the perfect square 9 and two sets of X’s.

In this example, after factoring out all the perfect squares we have to simplify the expression in the last step.

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Algebra Worksheets

Simplifying Radicals

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Tossing a Coin

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