261. If   √2 = 1.414 , the square root of		√2 − 1	is nearest to
     		√2 + 1

1. 1. 0.172

   
   
   

   2. 0.414

   
   
   

   3. 0.586

   
   
   

   4. 1.414

   
   
   

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1. View Hint View Answer Discuss in Forum

   √2 = 1.414 (Given)
   Now,
   

   √2 − 1	=	(√2 − 1)(√2 − 1)
   √2 + 1		(√2 + 1)(√2 − 1)

   
   

   	(√2 − 1)2	= (√2 − 1)2
   	2 − 1

   
   = 2 + 1 – 2√2
   = 3 – 2√2
   = 3 – 2 × 1.44
   = 3 – 2.828
   = 0.172

   Correct Option: A

   √2 = 1.414 (Given)
   Now,
   

   √2 − 1	=	(√2 − 1)(√2 − 1)
   √2 + 1		(√2 + 1)(√2 − 1)

   
   

   	(√2 − 1)2	= (√2 − 1)2
   	2 − 1

   
   = 2 + 1 – 2√2
   = 3 – 2√2
   = 3 – 2 × 1.44
   = 3 – 2.828
   = 0.172

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262. √0.00004761 equals

1. 1. 0.069

   
   
   

   2. 0.0069

   
   
   

   3. 0.00069

   
   
   

   4. 0.0609

   
   
   

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1. View Hint View Answer Discuss in Forum

   = √0.00004761 =	√		4761
   			108

   
   

   =	√		3 × 3 × 23 × 23
   			104 × 104

   
   

   =	69	= 0.0069
   	104

   Correct Option: B

   = √0.00004761 =	√		4761
   			108

   
   

   =	√		3 × 3 × 23 × 23
   			104 × 104

   
   

   =	69	= 0.0069
   	104

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263. If (102)² = 10404 then,the value of √104.04 + √ 1.0404 + √0.010404 is equal to

1. 1. 0.306

   
   
   

   2. 0.0306

   
   
   

   3. 11.122

   
   
   

   4. 11.322

   
   
   

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1. View Hint View Answer Discuss in Forum

   ∵  (102)² = 10404
   ⇒  √10404 = 102
   √104.04 + √1.0404 + √0.010404
   = 10.2 + 1.02 + 0.102
   = 11.322

   Correct Option: D

   ∵  (102)² = 10404
   ⇒  √10404 = 102
   √104.04 + √1.0404 + √0.010404
   = 10.2 + 1.02 + 0.102
   = 11.322

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264. Find the value of

1. 1. –16

   
   
   

   2. ±16

   
   
   

   3. 16

   
   
   

   4. 16.2

   
   
   

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1. View Hint View Answer Discuss in Forum

   √248 + √52 + √144
   = √248 + √52 + 12
   = √248 + √64
   = √248 + 8
   = √256 = ±16

   Correct Option: B

   √248 + √52 + √144
   = √248 + √52 + 12
   = √248 + √64
   = √248 + 8
   = √256 = ±16

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265. The square root of		9.5 × 0.085	is :
     		0.017 × 0.019

1. 1. 0.5

   
   
   

   2. 5

   
   
   

   3. 50

   
   
   

   4. 500

   
   
   

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1. View Hint View Answer Discuss in Forum

   =	√		9.5 × 0.85	= √2500 = 50
   			0.017 × 0.019

   Correct Option: C

   =	√		9.5 × 0.85	= √2500 = 50
   			0.017 × 0.019

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