1. Question:If `sqrt 15` = 3.8727, find the value of `((sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)))` 

    Answer
    =`((sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)))`
    
    =`((sqrt(5) + sqrt(3)))/((sqrt(5) - sqrt(3))) x ((sqrt(5) + sqrt(3)))/((sqrt(5) + sqrt(3)))`
    
    =`((sqrt(5) + sqrt(3))^2)/(5-3)`
    
    =`(5 + 3 +2 sqrt(5) xx sqrt(3))/2`
    
    =`(8 + 2sqrt(15))/2`
    
    =`(4 + sqrt(15))`
    
    =(4 + 3.8729)
    
    =7.8729






    1. Report
  2. Question:Evaluate: `sqrt ((.036 xx .025 xx .49)/(.81 xx .016 xx .064))` 

    Answer
    The sum decimal places in the numerator and the denominator of the redicand being the same, we may remove the decimal places
    `:.` Given Expression = `sqrt ((36 xx 25 xx 49)/(81 xx 16 xx 64))`
    
    =`((6 xx 5 xx 7)/(9 xx 4 xx 8))`
    
    =`35/48`






    1. Report
  3. Question:Find the cube root of 2744. 

    Answer
    Resolving 2744 as the product of prime factors, we get:
    2744 = `2^3` x `7^3`. 
    `:.` `2744^((1/3))` = (2 x 7)
    =14






    1. Report
Copyright © 2025. Powered by Intellect Software Ltd