Therefore 31 must be subtracted from 4000 to get a perfect square. The remainder obtained is \(53\). Therefore 1 must be subtracted from 3250 to get a perfect square. The square root of \(1369\) is calculated as follows. Ask your question. Square root by using division method. Also, find the square root of the perfect square so obtained: 5. Join now. (i) \(2304 \) (ii) \(4489 \) … Therefore, the required perfect square is, Therefore, required perfect square \(= 402 − 2 = 400\), \(402 - 2 = 400\;{\rm{and}}\;\sqrt {400}= 20\). The square of \(44\) is less than the given number \(1989\) by \(53\). (vii) 5776 (viii) 7921 (ix) 576 (x) 1024 (xi) 3136 (xii) 900. 4489. Since, area of a square is equals to square of its side. A gardener has 1000 plants. Square root of \(1825\) is calculated as follows. Square root of \(4000\) can be calculated by the long division method as follows. Finding square root by division method This is followed by finding the Square Roots of Decimal, the topic is explained in 6 steps. Hence number to be added to \(1000\) to make it perfect square, .\[\begin{align} &= {32^2} - 1000\\ &= 1024 - 1000\\ &= 24 \end{align} \], Thus, the required number of plants \(=24\). MEDIUM. Ask your question. Here, we have to find the number which should be subtracted from total number of children to make it a prefect square. 1. 8. 9. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. \[\begin{align}{\rm{A}}{{\rm{C}}^{\rm{2}}}\,{\rm{ }}&= \;{\rm{A}}{{\rm{B}}^{\rm{2}}}\;{\rm{ + }}\;{\rm{B}}{{\rm{C}}^{\rm{2}}}\\{\rm{A}}{{\rm{C}}^{\rm{2}}}\;{\rm{ }}&= \;{{\rm{(6)}}^{\rm{2}}}\;{\rm{ + }}\;{{\rm{(8)}}^{\rm{2}}}\\{\rm{A}}{{\rm{C}}^{\rm{2}}}\;{\rm{ }}&= \;{\rm{100}}\\\;\,{\rm{AC}}\;{\rm{ }}&= \;\sqrt {{\rm{100}}} \\\;\,{\rm{AC}}\;{\rm{ }}&= \;{\rm{10}}\;{\rm{cm}}\end{align}\]. \(AB = 6\;\rm{cm}\) \(BC = 8\;\rm{cm} \)  \(AC=\) ? Ask your question. MEDIUM. \[\begin{align}\sqrt {4489}  = 67\end{align}\]. Find the square root of 4489 by division method - 25901342 1. Find the square root of each of the following numbers by division method. Here, we have to find the number which should be subtracted from total number of children to make it a perfect square. (iii) 3481 Rough107 × 7 = 749108 × 8 = 864109 × 9 = 981Therefore, √3481 = 59Ex 6.4, 1 Find the square root of each of the following numbers by Division … Log in. Find the number of digits in the square root of each of the following numbers (without any calculation): (i) 64     (ii) 144 (iii) 4489   (iv) 27225   (v) 390625. drill, they have to stand in such a manner that the number of rows is equal to the number of columns. drill they have to stand in such a manner that the number of rows is equal to number of columns. Also find the square root of the perfect square so obtained. Answer. Therefore 53 must be subtracted from 1989 to get a perfect square. Hence, we then use long division method. Answered Square root of 0.4489 by long division method 2 See answers karankumar8461 is waiting for your help. Here, we get remainder 1. Therefore, perfect square can be obtained by subtracting \(16\) from the given number. We use that Thus, square root of 2304 =48Ex 6.4, 1 Find the square root of each of the following numbers by Division method. Log in. Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Join now. satapathyaradhana46 satapathyaradhana46 Here is your answer in the attachment hope it helps you . use the largest number whose square is equal or less than the first period number. \[\begin{align}{\rm{A}}{{\rm{C}}^{\rm{2}}}\;{\rm{ }}&= \;{\rm{A}}{{\rm{B}}^{\rm{2}}}\;{\rm{ + }}\;{\rm{B}}{{\rm{C}}^{\rm{2}}}\\{{\rm{(13)}}^{\rm{2}}}\;{\rm{ }}&= \;{\rm{A}}{{\rm{B}}^{\rm{2}}}\;{\rm{ + }}\;{{\rm{(5)}}^{\rm{2}}}\\{\rm{169}}\;{\rm{ }}&= \;{\rm{A}}{{\rm{B}}^{\rm{2}}}\;{\rm{ + }}\;{\rm{25}}\\ Area of the square = side of a square x side of a square, \[\begin{align}441\;\rm{m^2} = \text{(side of a square)}^2\end{align}\], \({\text{Side of a square}} = \;\sqrt {441}= 21\;{\rm{m}}\). How many children would be left out in this arrangement. In a right triangle \(\rm{}ABC\), \(\rm{}∠B = 90°\). He wants to plant these in such a way that the number of rows and the number of columns remain same. \[\begin{align}&= {42^2} - 1750\\&= 1764 - 1750\\&= 14\end{align}\], The required perfect square is \(1750 + 14 = 1764 \). Therefore, required perfect square \(= 1989 − 53 = 1936\), Square root of \(3250\) can be calculated by long division method as follows, The remainder obtained is \(1\). He wants to plant these in such a way that the number of rows and number of columns remain same. What must be subtracted from the numbers so as to get perfect square, It is evident that square of \(20\) is less than \(402\) by \(2\). A gardener has \(1000 \) plants. Here, we get remainder 53. 63. Here, we get remainder 2. Hence, the length of the side of a square is 21 m. Hence, the gardener requires 24 more plants. Find the length of the side of a square whose area is. The square root of \(576\) is calculated as follows. In this, first group the numbers into two starting from unit place, these groups are called periods. How many children would be left out in this arrangement?