8th Class Mathematics Squares and Square Roots Question Bank Squares and Square Roots

  • question_answer
    Find the value of P, Q, R and S.
    (i)  Square root of 1354.24 is\[\underline{\text{   P   }}\].
    (ii) Square root of 151.29 is \[\underline{\text{   Q   }}\].
    (iii) Square root of 7208.01 is \[\underline{\text{   R   }}\].
    (iv) Square root of 1789.29 is\[\underline{\text{   S   }}\].

    A)
    P Q R S
    38.2 12.9 83.4 41.3
                   

    B)       
    P Q R S
    36.8 11.3 86.9 41.7
                   

    C)       
    P Q R S
    35.4 13.3 85.1 42.9
                   

    D)       
    P Q R S
    36.8 12.3 84.9 42.3

    Correct Answer: D

    Solution :

    (i)
    36.8
    3 \[\begin{align}   & \overline{13}\overline{54}.\overline{24} \\  & -9 \\ \end{align}\]
    66  \[\begin{align}   & \text{  }454 \\  & -396 \\ \end{align}\]
    728    \[\begin{align}   & \text{  }5824 \\  & -5824 \\ \end{align}\]
             0
    \[\therefore \] Square root of 1354.24 = 36.8 (ii)
    12.3
    1 \[\begin{align}   & \text{  }\overline{1}\text{ }\overline{51}.\overline{29} \\  & -1 \\ \end{align}\]
    22  \[\begin{align}   & \text{  }51 \\  & -44 \\ \end{align}\]
    243   \[\begin{align}   & \text{  }729 \\  & -729 \\ \end{align}\]
           0
    \[\therefore \] Square root of 151.29 = 12.3 (iii)
       84.9
    8 \[\begin{align}   & \text{  }\overline{72}\text{ }\overline{08}.\overline{01} \\  & -64 \\ \end{align}\]
    164    \[\begin{align}   & \text{  }808 \\  & -656 \\ \end{align}\]
    1689      \[\begin{align}   & \text{  }15201 \\  & -15201 \\ \end{align}\]
                0
    \[\therefore \] Square root of 7208,01 = 84.9 (iv)
    42.3
    4 \[\begin{align}   & \text{  }\overline{17}\text{ }\overline{89}.\overline{29} \\  & -16 \\ \end{align}\]
    82   \[\begin{align}   & \text{  }189 \\  & -164 \\ \end{align}\]
    843     \[\begin{align}   & \text{  }2529 \\  & -2529 \\ \end{align}\]
              0
    \[\therefore \] Square root of \[1789.29=42.3\]


You need to login to perform this action.
You will be redirected in 3 sec spinner