Question

Square root of 18225
Square root of 21025
Square root of 13225
Square root of 42025
Square root of 38025
Square root of 27225
Square root of 34225​

Answer 1

We use prime factorisation method

Square root of 18225

$\begin{array}{r | l}5 & 18225 \\\cline{2-2} 5 & 3645\\\cline{2-2} 3 & 729\\\cline{2-2} 3 & 243\\\cline{2-2} 3 & 81\\\cline{2-2} 3 & 27\\\cline{2-2} 3 & 9\\\cline{2-2} 3 &3\\\cline{2-2} & 1\end{array}$

18225 = 5 × 5 × 3 × 3 × 3 × 3 × 3 × 3

$\bf\sqrt{18225} = \underline{5 \times 5} \times \underline{3 \times 3} \times \underline{3 \times 3} \times \underline{3 \times 3}\\\\=5 \times 3\times3\times3=135$

∴ Square root of 18225 is 135

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Square root of 21025

$\begin{array}{r | l}5 & 21025\\\cline{2-2} 5 & 4205\\\cline{2-2} 29 & 841\\\cline{2-2} 29 & 29\\\cline{2-2} & 1\end{array}$

21025 = 5 × 5 × 29 × 29

$\bf\sqrt{21025} = \underline{5 \times 5} \times \underline{29 \times 29}\\\\=5 \times 29=145$

∴ Square root of 21025 is 145

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Square root of 13225

$\begin{array}{r | l}5 & 13225\\\cline{2-2} 5 & 2645\\\cline{2-2} 23 & 529\\\cline{2-2} 23 & 23\\\cline{2-2} & 1\end{array}$

13225 = 5 × 5 × 23 × 23

$\bf\sqrt{13225} = \underline{5 \times 5} \times \underline{23 \times 23}\\\\=5 \times 23=115$

∴ The square root of 13225 is 115.

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Square root of 42025

$\begin{array}{r | l}5 & 42025\\\cline{2-2} 5 & 8402\\\cline{2-2} 41 & 1681\\\cline{2-2} 41 & 41\\\cline{2-2} & 1\end{array}$

42025 = 5 × 5 × 41 × 41

$\bf\sqrt{42025} = \underline{5 \times 5} \times \underline{41 \times 41}\\\\=5 \times 41=205$

∴ The square root of 42025 is 205.

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Square root of 38025

$\begin{array}{r | l}5 & 38025\\\cline{2-2} 5 & 7605\\\cline{2-2} 3 & 1521\\\cline{2-2} 3 & 507\\\cline{2-2} 13 & 169\\\cline{2-2} 13 & 13\\\cline{2-2} & 1\end{array}$

38025 = 5 × 5 × 3 × 3 × 13 × 13  

$\bf\sqrt{38025 } = \underline{5 \times 5} \times \underline{3 \times 3} \times \underline{13 \times 13}\\\\=5\times3\times13\times=195$

∴ Square root of 38025 is 195.

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Square root of 27225

$\begin{array}{r | l}5 & 27225\\\cline{2-2} 5 & 5445\\\cline{2-2} 3 & 1089\\\cline{2-2} 3 & 363\\\cline{2-2} 11 & 121\\\cline{2-2} 11 & 11\\\cline{2-2} & 1\end{array}$

27225  = 5 × 5 × 3 × 3 × 11 × 11  

$\bf\sqrt{27225} = \underline{5 \times 5} \times \underline{3 \times 3} \times \underline{11 \times 11}=165$

∴ Square root of 27225  is 165.

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Square root of 34225​

$\begin{array}{r | l}5 & 34225\\\cline{2-2} 5 & 6845\\\cline{2-2} 37& 1369\\\cline{2-2} 37 & 37\\\cline{2-2} & 1\end{array}$

34225 = 5 × 5 × 37 × 37

$\bf\sqrt{34225 } = \underline{5 \times 5} \times \underline{37 \times 37}\\\\=5 \times 37=185$

∴ The square root of 34225 is 185.

Answer 2

Answer:

Dear Friend,

You would find your answer over here:

We use prime factorisation method

Square root of 18225

18225 = 5 × 5 × 3 × 3 × 3 × 3 × 3 × 3

∴ Square root of 18225 is 135

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Square root of 21025

21025 = 5 × 5 × 29 × 29

∴ Square root of 21025 is 145

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Square root of 13225

13225 = 5 × 5 × 23 × 23

∴ The square root of 13225 is 115.

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Square root of 42025

42025 = 5 × 5 × 41 × 41

∴ The square root of 42025 is 205.

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Square root of 38025

38025 = 5 × 5 × 3 × 3 × 13 × 13  

∴ Square root of 38025 is 195.

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Square root of 27225

27225  = 5 × 5 × 3 × 3 × 11 × 11  

∴ Square root of 27225  is 165.

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Square root of 34225​

34225 = 5 × 5 × 37 × 37

∴ The square root of 34225 is 185.