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The value of sqrt(c ) rounded off of thr...

The value of `sqrt(c )` rounded off of three decimal places is

A

1.648

B

1.65

C

1.652

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of \( \sqrt{e} \) rounded off to three decimal places, we can follow these steps: ### Step 1: Identify the value of \( e \) The constant \( e \) is approximately equal to \( 2.71828 \). ### Step 2: Calculate \( \sqrt{e} \) To find \( \sqrt{e} \), we will take the square root of \( 2.71828 \). Using a calculator: \[ \sqrt{2.71828} \approx 1.64872 \] ### Step 3: Round to three decimal places Now, we need to round \( 1.64872 \) to three decimal places. - Look at the fourth decimal place (which is 7). Since 7 is greater than or equal to 5, we round up the third decimal place (which is 8) by 1. Thus, \( 1.64872 \) rounded to three decimal places is: \[ 1.649 \] ### Final Answer The value of \( \sqrt{e} \) rounded off to three decimal places is \( 1.649 \). ---
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Knowledge Check

  • Applying Newton's iterative formula the value of sqrt(29) upto three decimal places is

    A
    `5.384 `
    B
    `5.381 `
    C
    `5.387 `
    D
    none of these
  • If sqrt(2)=1.4142 … is given, then the value of (7)/((3+sqrt(2))) correct upto two decimal places is

    A
    `1.59`
    B
    `1.60`
    C
    `2.58`
    D
    `2.57`
  • If sqrt(86-60sqrt(2)) = a - bsqrt2 then what will be the value of sqrt(a^(2) + b^(2)) , correct to one decimal place ?

    A
    7.2
    B
    8.2
    C
    8.4
    D
    7.8
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