Math, asked by MrPriyabrat, 6 months ago

Answer the question in the above picture no spamming ​

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Answers

Answered by upradhan93012
1

hope it helps you buddy

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Answered by keanuariels
0

Answer alongside the step-by-step explanation:

In order to be a square number, there must be 2 same numbers (without commas and without additional root ) which if multiplied together, make a square number as a result. e.g. 4 x 4 = 16, 6 x 6 = 36.

Square root of 34578 = 3√3842 (not a number without root)

because

Prime factorisation of 34578 = 2 . 3² . 17 . 113

Therefore

\sqrt{2\cdot \:3^2\cdot \:17\cdot \:113} =\\\sqrt{3^2\cdot \:2\cdot \:17\cdot \:113} =\\\sqrt{3^2}\sqrt{2\cdot \:17\cdot \:113} =\\3\sqrt{2\cdot \:17\cdot \:113} =

3√3842

Square root of 7448312 = 2√1862078 (also not a number without root)

because

Prime factorisation of 7448312 = 2² . 2² . 17 . 54767

Therefore

\sqrt{2^2\cdot \:2\cdot \:17\cdot \:54767} =\\\sqrt{2^2}\sqrt{2\cdot \:17\cdot \:54767} =\\2\sqrt{2\cdot \:17\cdot \:54767} =

2√1862078

Square root of 121000 = 110√10 (also not a number without root)

because

Prime factorisation of 121000 = 2³ . 5³ . 11² or 2² . 2 . 5² . 5 . 11²

Therefore

\sqrt{2^2\cdot \:2\cdot \:5^2\cdot \:5\cdot \:11^2} =\\\sqrt{2^2\cdot \:5^2\cdot \:11^2\cdot \:2\cdot \:5} = \\\sqrt{2^2}\sqrt{5^2}\sqrt{11^2}\sqrt{2\cdot \:5} =\\2\cdot \:5\cdot \:11\sqrt{2\cdot \:5} =

110√10

The numbers aren't square numbers cause each of them has root (√3842, √1862078 and √10)

___________

#StayPositive - keanuariels

I'm not an Indian, just an Indonesian who happens to love maths.

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