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Simplify
[tex] \sqrt{72} [/tex]
72 completely.​

Sagot :

corm

Step-by-step explanation:

First let's factor 72:

[tex]72 = 2^{3} * 3^{2}[/tex]

Next, we can try to take the square root of each term in this factorization:

[tex]\sqrt{2^{3}}[/tex]

[tex]2\sqrt{2}[/tex]

[tex]\sqrt{3^{2}}[/tex]

[tex]3[/tex]

Finally, we can multiply these two together:

[tex]2\sqrt{2} * 3[/tex]

[tex]6\sqrt{2}[/tex]

Alternatively, you could find that 72 is [tex]2 * 6^{2}[/tex] and took the square root of the [tex]6^{2}[/tex] and moved the 6 out of the square root.

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