Q4 of 114 Page 3

Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.

147 = 72 × 3

To make the unpaired 3 into paired, multiply the number with 3


Therefore,


147 × 3 = 72 × 32


Hence, square root of number = = 7 × 3


= 21


More from this chapter

All 114 →
2

Find the square root of each of the following by prime factorization.

(i) 441 (ii) 196


(iii) 529 (iv) 1764


(v) 1156 (vi) 4096


(vii) 7056 (viii) 8281


(ix) 11664 (x) 47089


(xi) 24336 (xii) 190969


(xiii) 586756 (xiv) 27225


(xv) 3013696

 3

Find the smallest number by which 180 must be multiplied so that it becames a perfect square. Also, find the square root of the perfect square so obtained.

 5

Find the smallest number by which 3645 must be divided so that it becomes a perfect square. Also, find the square root of the resulting number.

 6

Find the smallest number by which 1152 must be divided so that it becomes a square. Also, find the square root of the number so obtained.