What is the smallest natural number that when multiplied by 180 has a product that is a perfect square?
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Answered by
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Hello...
For these type of questions, you just have to factorise the given number.
Here, 180 = 2X2X3X3X5
So, to make it a perfect square you have to make pairs of identical numbers i.e. 2X2 and 3X3.
And we have found that 5 is left unpaired...
You just have to multiply 5 with 180 to make it a perfect square i.e. 5X180 = 900, that is the square of 30.
So, 5 is your required answer.
PLEASE MAKE IT BRAINLIEST!!
For these type of questions, you just have to factorise the given number.
Here, 180 = 2X2X3X3X5
So, to make it a perfect square you have to make pairs of identical numbers i.e. 2X2 and 3X3.
And we have found that 5 is left unpaired...
You just have to multiply 5 with 180 to make it a perfect square i.e. 5X180 = 900, that is the square of 30.
So, 5 is your required answer.
PLEASE MAKE IT BRAINLIEST!!
937209818:
Thank you. I'll let you know that this is AMC 8 test. And math olympiad 6.
Answered by
0
5 is the ans acc. to me
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