RS Aggarwal solution class 8 chapter 3 Squares and Square roots Exercise 3C

Exercise 3C

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Q1 | Ex-3C | Squares and Square roots | Chapter 3 | Class 8 | RS AGGARWAL  | myhelper

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Question 1:

Find the value of using the column method:
(23)²

Answer 1:

Using the column method:
∴  a = 2
     b = 3
 

$a^2$	2ab	$b^2$
04 + 1= 5	12+0 = 12	9

∴ ${23}^2=529$

Q2 | Ex-3C | Squares and Square roots | Chapter 3 | Class 8 | RS AGGARWAL  | myhelper

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Question 2:

Find the value of using the column method:
(35)²

Answer 2:

Using the column method:
Here, a = 3 and b = 5
 

$a^2$	2ab	$b^2$
$09$ +3 = 12	$30$ +2 = 32	25

∴ ${35}^2 = 1225$

Q3 | Ex-3C | Squares and Square roots | Chapter 3 | Class 8 | RS AGGARWAL  | myhelper

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Question 3:

Find the value of using the column method:
(52)²

Answer 3:

Using the column method:

Here, a = 5
        b = 2
 

$a^2$	2ab	$b^2$
$$\begin{gathered} 25 \\ +2 \end{gathered}$$ =27	20	4

∴ ${52}^2=2704$

Q4 | Ex-3C | Squares and Square roots | Chapter 3 | Class 8 | RS AGGARWAL  | myhelper

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Question 4:

Find the value of using the column method:
(96)²

Answer 4:

Using column method:

Here, $$\begin{gathered} a =9 \\ b = 6 \end{gathered}$$
 

$a^2$	2ab	$b^2$
$$\begin{gathered} 81 \\ +11 \end{gathered}$$ =92	$$\begin{gathered} 108 \\ +3 \end{gathered}$$ =111	36

∴ ${96}^2=9216$

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Q5 | Ex-3C | Squares and Square roots | Chapter 3 | Class 8 | RS AGGARWAL  | myhelper

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Question 5:

Find the value of using the diagonal method:
(67)²

Answer 5:

${67}^2=4489$

Q6 | Ex-3C | Squares and Square roots | Chapter 3 | Class 8 | RS AGGARWAL  | myhelper

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Question 6:

Find the value of using the diagonal method:
(86)²

Answer 6:

${86}^2=7396$

Q7 | Ex-3C | Squares and Square roots | Chapter 3 | Class 8 | RS AGGARWAL  | myhelper

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Question 7:

Find the value of using the diagonal method:
(137)²

Answer 7:

${137}^2=18769$

Q8 | Ex-3C | Squares and Square roots | Chapter 3 | Class 8 | RS AGGARWAL  | myhelper

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Question 8:

Find the value of using the diagonal method:
(256)²

Answer 8:

${256}^2=65536$