246. The value of √400 + √0.0400 + √0.000004 is

1. 1. 0.222

   
   
   

   2. 20.22

   
   
   

   3. 20.202

   
   
   

   4. 2.022

   
   
   

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1. View Hint View Answer Discuss in Forum

   Expression
   √400 + √0.0400 + √0.000004
   = 20 + 0.2 + 0.002
   = 20.202

   Correct Option: C

   Expression
   √400 + √0.0400 + √0.000004
   = 20 + 0.2 + 0.002
   = 20.202

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247. The square root of (7 + 3√5)(7 − 3√5) is :

1. 1. 4

   
   
   

   2. √5

   
   
   

   3. 3√5

   
   
   

   4. 2

   
   
   

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1. View Hint View Answer Discuss in Forum

   (7 + 3√5)(7 − 3√5) = (7)² − (3√5)²
   = 49 – 45 = 4
   ∴  Required square root
   = √4 = 2

   Correct Option: D

   (7 + 3√5)(7 − 3√5) = (7)² − (3√5)²
   = 49 – 45 = 4
   ∴  Required square root
   = √4 = 2

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248. The value of √32 − √128 + √50 correct to 3 places of decimal is :

1. 1. 1.732

   
   
   

   2. 1.141

   
   
   

   3. 1.414

   
   
   

   4. 1.441

   
   
   

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1. View Hint View Answer Discuss in Forum

   Expression
   = 4√2 − 8√2 + 5√2
   = √2(4 − 8 + 5) = √2
   = 1.414

   Correct Option: C

   Expression
   = 4√2 − 8√2 + 5√2
   = √2(4 − 8 + 5) = √2
   = 1.414

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249. The value of √11.981 + 7√1.2996 is closest to

1. 1. 5.1

   
   
   

   2. 4.9

   
   
   

   3. 4.5

   
   
   

   4. 4.1

   
   
   

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1. View Hint View Answer Discuss in Forum

   √11.981 + 7√1.2996
   = √11.981 + 7 × 1.14
   = √11.981 + 7.98
   = √19.961
   = 4.467 ≈ 4.5

   Correct Option: C

   √11.981 + 7√1.2996
   = √11.981 + 7 × 1.14
   = √11.981 + 7.98
   = √19.961
   = 4.467 ≈ 4.5

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250. The value of √11.981 + 7√1.2996 is closest to

1. 1. 5.1

   
   
   

   2. 4.9

   
   
   

   3. 4.5

   
   
   

   4. 4.1

   
   
   

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1. View Hint View Answer Discuss in Forum

   √11.981 + 7√1.2996
   = √11.981 + 7 × 1.14
   = √11.981 + 7.98
   = √19.961
   = 4.467 ≈ 4.5

   Correct Option: C

   √11.981 + 7√1.2996
   = √11.981 + 7 × 1.14
   = √11.981 + 7.98
   = √19.961
   = 4.467 ≈ 4.5

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