256. The positive square root of [0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4] is equal to

1. 1. 2.1736

   
   
   

   2. 1

   
   
   

   3. 0.21736

   
   
   

   4. 0.072

   
   
   

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1. View Hint View Answer Discuss in Forum

   Expression = 0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4(0.6 + 0.4) = (0.6 + 0.4)³ =1
   ∴  Required square root = 1

   Correct Option: B

   Expression = 0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4(0.6 + 0.4) = (0.6 + 0.4)³ =1
   ∴  Required square root = 1

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257. The positive square root of [0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4] is equal to

1. 1. 2.1736

   
   
   

   2. 1

   
   
   

   3. 0.21736

   
   
   

   4. 0.072

   
   
   

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1. View Hint View Answer Discuss in Forum

   Expression = 0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4(0.6 + 0.4) = (0.6 + 0.4)³ =1
   ∴  Required square root = 1

   Correct Option: B

   Expression = 0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4(0.6 + 0.4) = (0.6 + 0.4)³ =1
   ∴  Required square root = 1

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258. The square root of

     is :

1. 1. 7	1
      	12

   
   
   

   2. 5	5
      	12

   
   
   

   3. 1	1
      	12

   
   
   

   4. 1	7
      	12

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given expression
   
   [∵  a² − b² = (a + b)(a − b)]
   

   =		3	1		2	+		4	1		2	=		13		2	+		13		2
   			4						3					4					3

   
   

   =	169	+	169	= 169		1	+	1
   	16		9			16		9

   
   

   = 169		9 + 16		=	169 × 25
   		144			144

   
   ∴  Required answer
   

   =	√	169 × 25	=	13 × 25	=	65	= 5	5
   		144		12		12		12

   Correct Option: B

   Given expression
   
   [∵  a² − b² = (a + b)(a − b)]
   

   =		3	1		2	+		4	1		2	=		13		2	+		13		2
   			4						3					4					3

   
   

   =	169	+	169	= 169		1	+	1
   	16		9			16		9

   
   

   = 169		9 + 16		=	169 × 25
   		144			144

   
   ∴  Required answer
   

   =	√	169 × 25	=	13 × 25	=	65	= 5	5
   		144		12		12		12

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259. The square root of 0.4 is :

1. 1. 0.8

   
   
   

   2. 0.6

   
   
   

   3. 0.7

   
   
   

   4. 0.9

   
   
   

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1. View Hint View Answer Discuss in Forum

   0.4 =	4
   	9

   
   

   ∴	√	4	=	2	=	2 × 3	=	6	= 0.6
   		9		3		3 × 3		9

   Correct Option: B

   0.4 =	4
   	9

   
   

   ∴	√	4	=	2	=	2 × 3	=	6	= 0.6
   		9		3		3 × 3		9

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260. √	0.00001225	is equal to :
     	0.00005392

1. 1. 25

      77

   
   
   

   2. 35

      73

   
   
   

   3. 35

      77

   
   
   

   4. 25

      73

   
   
   

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1. View Hint View Answer Discuss in Forum

   √	0.00001225
   	0.00005392

   
   
   

   =	35
   	73

   Correct Option: B

   √	0.00001225
   	0.00005392

   
   
   

   =	35
   	73

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