find the smallest number by which each of the given numbers must be multiplied so that the product is a perfect square . also find the square root of this new number. (1) 175. (2) 325. (3). 720. (4). 3150
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(1); 7 and 35. (2):13 and 65. (3):5 and 60. (4):14 and 210
Step-by-step explanation:
I am providing the answer of Q 4 as you can solve others by the same process
Prime factors of 3150=2×3×3×5×5×7
Here 3 and 5 are in pair of 2
but 2 and 7 have not a pair
So the number that should be multiplied is 2×7=14
Now after multiplication all 2,3,5 and 7 have one pair each
So the square root of the new number is 2×3×5×7=210
Hope this helps
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