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Express 18√8 in the form a√b where a and b are integers and b is as small as possible.

Hint(s): Factor sqrt(8) as the product of two square roots, one of which is the square root of a perfect square.

PLEASE HELP!!!

Respuesta :

Answer:

[tex]36\sqrt{2}[/tex]

Explanation:

This radical can be simplified.  You know that the number inside of the radical; 8, is the product of 4 and 2.  You know that 4 is a perfect square (2 times 2).  Therefore, you can leave the 2 on the inside and the 4 on the outside.  You now must multiply the 18 on the outside of the radical by 2 because you must take the square root of the original 4 you had.  Therefore, you answer will be [tex]36\sqrt{2}[/tex].

Sorry can’t help don’t know what you looking for