Question

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Answer 1

Q1..√176+√2401=√176+49=√225=15 Ans.

Q2..If we take m²+ 1 = 6, then m² = 5
The value of m will not be an integer.If we take m² − 1 = 6, then m² = 7
Again the value of m is not an integer.Let 2m = 6m = 3
Therefore, the Pythagorean triplets are 2 × 3, 32 − 1, 32 + 1 or 6, 8, and 10.

Q3..x+4=8⇒x=4∴√x²=√4²=√16=4 Ans.

Q4..√x=5       By squaring both side       x=25      ∴x²=25²⇒x²=625

Q5..Area of square field=441 m²     
 Area=side²
       441=a²⇒a=√441=21
 ∴Perimeter=4a=4*21=84 m
Q6..Let the breadth be x
        legth=2x 
      Area of ractangle=l*b       
                  2450=2x*x       
                  2450=2x²     
                  2450/2=x²     
                    1225=x²       
                        x=35 m 
             2x=35*2=70 m   
∴ Perimeter=2(l+b)               
       =2(35+70)       
                =2(105)     
                  =210 m
.
Q7..√15625=125     
  √156.25=12.5   
   √1.5625=1.25 
    Hence, √156.25+√1.5625=12.5+1.25=13.75 

Q8..√2304=48 and √1764=42
       √0.2304=0.48  and  √0.1764=0.42
     ∴√0.2304+√0.1764/√0.2304-√0.1764=0.48+0.24/0.48-0.42                                                               =0.9/0.06=15 Ans


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