Find the smallest number by which 2335 must be multiplied to het a per

1.	Find the smallest number by which 2335 must be multiplied to het a perfect square.Also find the square root of the new number..Please help?!!!
Answer» Step-by-step explanation: Given that: FIND the smallest number by which 2335 must be multiplied to get a perfect SQUARE.Also find the square root of the new number. Solution: To find that number,one can do PRIME factorisation of 2335 $2335 = 5 \times 467 \\$ Here we can SEE that,both the prime factors appears only once,so one have to multiply 2335 by 5 and 467,i.e. 2335 itself. Thus,the smallest number which when multiplied by 2335 gives a perfect square is 2335. $2335 \times 2335 = 5 \times 467 \times 5 \times 467 \\ \\ {(2335)}^{2} = {5}^{2} \times {(467)}^{2}$ Thus,the square root of new number is 2335. Hope it helps you.

Find the smallest number by which 2335 must be multiplied to het a perfect square.Also find the square root of the new number..Please help?!!!

Answer»

Step-by-step explanation:

Given that: FIND the smallest number by which 2335 must be multiplied to get a perfect SQUARE.Also find the square root of the new number.

Solution: To find that number,one can do PRIME factorisation of 2335

$2335 = 5 \times 467 \\$

Here we can SEE that,both the prime factors appears only once,so one have to multiply 2335 by 5 and 467,i.e. 2335 itself.

$2335 \times 2335 = 5 \times 467 \times 5 \times 467 \\ \\ {(2335)}^{2} = {5}^{2} \times {(467)}^{2}$

Hope it helps you.