Week 4- Adding Radical

This week, I have learned how to add radicals. At first, I thought it would be hard because adding fraction is harder than multiplying fraction. However, it was very easy. It has the same concept as fraction.

Let’s try an example.

2\sqrt{5}3\sqrt{5}

For fraction, you leave the denominator and add the top, for radicals, you add the coefficient and leave the radicand alone. So it should look something like this

2\sqrt{5}3\sqrt{5}

=5\sqrt{5}

 

Let’s try something harder

\sqrt{27} + \sqrt{12}

To be able to add, you must have the same radicand. It can’t be two different numbers. So we need to simplify it to see if we are able to add.

 

\sqrt{27}

=\sqrt{9\cdot3}

=3\sqrt{3}

 

\sqrt{12}

=\sqrt{4\cdot3}

=2\sqrt{3}

 

Because both have the same radicand, we are able to add both together.

 

3\sqrt{3}2\sqrt{3}

=5\sqrt{3}

 

If we have two different radicand, we can not add together.

3\sqrt{5}6\sqrt{3}

Even though it is very tempting to add both together, we can not.

The final answer should be for this equation is 3\sqrt{5}6\sqrt{3}

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