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Find the smallest number by which 3645 must be multiplied to get a perfect square. find the square root of the resulting number.Square roots and Cube RootsFind the smallest number by which 7776 is to be divided to get a perfect square,1521 trees are planted in a garden in such a way that there are as many trees in eac132.Find the smallest number by which 2400 is to be multiplied to get a perfect square andW os there are rows in the garden :​

Answer»

a number as 3645. We need to FIND out a number which if multiplied by the given number we should get a perfect square. Step 1: Resolve 3645 into prime factors  5 3645 9 729 9 813 9    3 We get, 5 × 9 × 9 × 3 × 3 Step 2: PAIR the factors obtained ⇒ (9 × 9) × (3 × 3) × 5 Step 3: multiply the number with the FACTOR which is alone. Here, 9,3 are in pair and 5 is alone. So,we must multiply the given number by 5 to get a perfect square. ⇒ 3645 × 5 = 18225. HENCE, 5 should be multiplied to the given number “3645” to make it perfect square.



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