Question

find the smallest number by which each of the given numbers must be multiplied so that the product ia a perfect square 1575​

Answer 1

Step-by-step explanation:

8th

Maths

Squares and Square Roots

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Find the smallest number by...

MATHS

Find the smallest number by which 1575 must be divided so that the quotient becomes a perfect square.

MEDIUM

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ANSWER

Given number is 1575 first we write it as the product of prime factors

3  15753  5255  1755    35 7      7      1∴ 1575=3×3×5×5×7

Clearly 7 has no pair so if we divide it by 7 then quotient become a perfect square

Answer 2

Answer:

Given number is 1575 first we write it as the product of prime factors

3 1575

3 525

5 175

5 35

7 7

1

∴ 1575=

3×3

×

5×5

×7

Clearly 7 has no pair so if we divide it by 7 then quotient become a perfect squar