Math, asked by vk2362149, 8 months ago

ind the smallest number by which must be multiplied to get a perfect square
1150
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Exercise 2.31
Find the stare roatarthe following numbes the methode prime faetonation
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the smallest number by whic.h 2925 must be divided to obtam a perfect square​

Answers

Answered by shivnathsingh542
1

Answer:

MATHS

Find the smallest number by which 720 should be multiplied to get a perfect square number.

(i)What is the perfect square obtained?

(ii)Find the Square root of this perfect number.

Then, answer(i) + answer(ii) is,

January 17, 2020

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Skafreen Dangi

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ANSWER

Prime Factorization of 720 is,

720=2×2×2×2×3×3×5

To find perfect square make pair of two of prime factors

thus,

there is a pair of 5 is missing hence to make 720 a perfect square we have to multiply by 5.

5 is the smallest number by which 720 should be multiplied to get a perfect square number

(i) 720×5=3600

(ii)

3600

=60

∴3600+60=3660

Hence 3660 is the answer.

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