Find the smallest number by which the following should be multiplied to get a perfect square. Also find the square root of the new number formed.
a. 768
b. 7935
c. 1575
joansteffis:
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hi friend :
a 768 : prime factors = 2*2*2*2*2*2*2*2*3pairs = 2*2*2*2*since 2 is unpaired so 768 should be multiplied by 768 768 * 3 = 2304 and square root of it is 48
b 7935 : prime factors are : 3*5*23*23since 3*5 is unpaired so 7935 should be multiplied by 157935*15=119025 and square root of 119025is 345
c 1575 = prime factors : 3*3*5*5*7since 7 is unpaired so 1575 should be multiplied by 7 = 1575*7=11025square root of 11025 is 105
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a 768 : prime factors = 2*2*2*2*2*2*2*2*3pairs = 2*2*2*2*since 2 is unpaired so 768 should be multiplied by 768 768 * 3 = 2304 and square root of it is 48
b 7935 : prime factors are : 3*5*23*23since 3*5 is unpaired so 7935 should be multiplied by 157935*15=119025 and square root of 119025is 345
c 1575 = prime factors : 3*3*5*5*7since 7 is unpaired so 1575 should be multiplied by 7 = 1575*7=11025square root of 11025 is 105
hope i helped you
pls mark it as brainliest answer
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Find the smallest number by which 1575 must be multiplied so that the
product may be a perfect square.
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