question 1 :find the least number by which 768 should be multiplied to get a perfect square. what is the perfect square so obtained?find the square root of this perfect square?
question2 : fiend the least number by ehich 1620 be divided to get a perfect square . what is the perfect square so obtained ? find the square root of this perfect square ?
question 3: by what least number should 288 be multiplied to get a perfect cube ? what is this perfect cube ? find its cube root
question 4 : by what least number should 1029 be divided to get a perfect cube? what is this perfect cube?find its cube root
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1) To find the least number by which 768 be multiplied to get a perfect square. first, we make a prime square.
as: 768= 2*2*2*2*2*2*2*2*3
here we can see that we have even number of '2' so here we multiply 768 by 3 to make an even number of '3' and get
768 * 3= 2304
so, least number of which 768 be multiplied to get perfect square=3 perfect square = 2304
root 2304=root 42^2= 48
answer: 482) 1620=2×2×5×3×3×3×31620=2×2×5×3×3×3×316201620 should be divided by 5 to get a perfect square.16205=2×2×3×3×3×3×5516205=2×2×3×3×3×3×55324=2×3×3324=2×3×3324=18324=18Answer: 5
as: 768= 2*2*2*2*2*2*2*2*3
here we can see that we have even number of '2' so here we multiply 768 by 3 to make an even number of '3' and get
768 * 3= 2304
so, least number of which 768 be multiplied to get perfect square=3 perfect square = 2304
root 2304=root 42^2= 48
answer: 482) 1620=2×2×5×3×3×3×31620=2×2×5×3×3×3×316201620 should be divided by 5 to get a perfect square.16205=2×2×3×3×3×3×5516205=2×2×3×3×3×3×55324=2×3×3324=2×3×3324=18324=18Answer: 5
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