Math, asked by prince5132, 9 months ago

please answer me please


3 AND 4.....​

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Answered by 2005shalinikumari
1

Answer:

remaining questions of no. 3 will be solved like first no. of 3

I hope answer will be correct

plz mark my answer as brainliest answer

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Answered by Anonymous
12

QUESTION 1) Find the least number which must be added to the following numbers to them perfect square.

1) 5607

⠀⠀⠀74

⠀7 ⠀| 56 07

⠀⠀⠀| 49⠀⠀

144⠀|⠀⠀707

⠀⠀⠀|⠀⠀576

⠀⠀⠀|⠀⠀131

Hence, the Remainder = 131

Since, We know that (74)² < 5607

Therefore , Let's take, the next perfect square number which is (75)² . Now , (75)² = 5625 > 5607

Therefore, the number to be added

5625 - 5607 = 18

\begin{gathered}\begin{gathered}\\\;\underline{\boxed{\tt{\odot\;\;Hence,\;\; No.\;=\;\bf{\blue{18}}}}}\end{gathered} \end{gathered}

2) 4931

⠀⠀⠀⠀⠀70⠀⠀⠀

⠀7 ⠀| 49 31

⠀⠀⠀| 49⠀⠀⠀⠀

140⠀|⠀⠀31

⠀⠀⠀|⠀⠀⠀0⠀⠀

⠀⠀⠀|⠀⠀31

Hence, the Remainder = 31

Since, We know that (70)² < 4931

Therefore , Let's take, the next perfect square number which is (71)² . Now , (71)² = 5041 > 4931

Therefore, the number to be added

5041 - 4931 = 110

\begin{gathered}\begin{gathered}\\\;\underline{\boxed{\tt{\odot\;\;Hence,\;\; No.\;=\;\bf{\blue{110}}}}}\end{gathered} \end{gathered}

3) 4515600

⠀⠀⠀⠀⠀2124⠀⠀⠀⠀

⠀2 ⠀⠀| 45 15 600

⠀⠀⠀⠀| 4⠀⠀⠀⠀⠀⠀⠀

⠀41⠀⠀|⠀51

⠀⠀⠀⠀|⠀41⠀⠀⠀⠀⠀⠀

422 ⠀|⠀⠀1056

⠀⠀⠀⠀|⠀⠀⠀844⠀⠀⠀

4244⠀|⠀⠀⠀21200

⠀⠀⠀⠀|⠀⠀⠀16976⠀⠀

⠀⠀⠀⠀|⠀⠀⠀⠀4224

Hence, the Remainder = 4224

Since, We know that (2124)² < 4515600

Therefore , Let's take, the next perfect square number which is (2125)² . Now , (2125)² = 4515625 > 4515600

Therefore, the number to be added

4515625 - 4515600 = 25

\begin{gathered}\begin{gathered}\\\;\underline{\boxed{\tt{\odot\;\;Hence,\;\; No.\;=\;\bf{\blue{25}}}}}\end{gathered} \end{gathered}

4) 37460

⠀⠀⠀⠀⠀194⠀⠀⠀⠀

⠀1 ⠀⠀| 37 460

⠀⠀⠀⠀| 1⠀⠀⠀⠀⠀⠀

⠀29 ⠀|⠀274

⠀⠀⠀⠀|⠀261⠀⠀⠀⠀

384 ⠀|⠀⠀1360

⠀⠀⠀⠀|⠀⠀1536⠀⠀

⠀⠀⠀⠀|⠀⠀⠀- 176

Hence, the Remainder = 176

Since, We know that 37460 is 176 more than (194)²

Therefore, the number to be added will be 176

\begin{gathered}\begin{gathered}\\\;\underline{\boxed{\tt{\odot\;\;Hence,\;\; No.\;=\;\bf{\blue{176}}}}}\end{gathered} \end{gathered}

5) 506900

⠀⠀⠀⠀⠀711⠀⠀⠀

⠀7 ⠀⠀| 50 69 00

⠀⠀⠀⠀| 49⠀⠀⠀⠀

141⠀ ⠀|⠀169

⠀⠀⠀⠀|⠀141⠀⠀⠀⠀

1422 ⠀|⠀⠀2800

⠀⠀⠀⠀|⠀⠀2844⠀⠀

⠀⠀⠀⠀|⠀⠀⠀- 44

Hence, the Remainder = 44

Since, required no = 712

Therefore , Let's take, the next perfect square number which is (712)² .

Therefore, the number to be added

506944 - 506900 = 44

\begin{gathered}\begin{gathered}\\\;\underline{\boxed{\tt{\odot\;\;Hence,\;\; No.\;=\;\bf{\blue{44}}}}}\end{gathered} \end{gathered}

______________________________________________

QUESTION 2) find the greatest number of 5 digit which is a perfect square

the greatest 5 digit number is 99999

therefore ,

⠀⠀⠀⠀⠀2124⠀⠀

⠀3 ⠀| 99 99 9

⠀⠀⠀| 9⠀⠀⠀⠀⠀

⠀61⠀|⠀99

⠀⠀⠀|⠀61⠀⠀⠀⠀

626 |⠀⠀3899

⠀⠀⠀|⠀⠀3756

⠀⠀⠀|⠀⠀⠀143

hence we must subtract 143 from 99999

Therefore , 99999 - 143 = 99856

\begin{gathered}\begin{gathered}\\\;\underline{\boxed{\tt{\odot\;\;Hence,\;\; No.\;=\;\bf{\blue{99856}}}}}\end{gathered} \end{gathered}

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