Question

Q36. Simplify:

$\sf{\bigg|\dfrac{\pi}{2}-2\sqrt{2}\bigg|}$

(a) π
(b) π/2
(c) 1.43
(d) 1.26​

Answer 1

Answer:

Option d

Step-by-step explanation:

Given :-

| π/2 -2√2 |

To find :-

Simplify given expression?

Solution :-

Given that :

| π/2 -2√2 |

=> | [π-(2√2)(2)]/2 |

=> | [ π -4√2] /2 |

We know that

π = 22/7 = 3.14

and

√2 = 1.414

On Substituting these values in the above expresion

=>| [3.14-4(1.414)]/2 |

=> | [ 3.14 - 5.656]/2 |

=> | (-2.516)/2 |

=> | (-1.258) |

=> 1.258

=> 1. 26 ( Correct it to 2 decimals)

Answer:-

The value of the given expression | π/2 -2√2 | is 1.26

Used formulae:-

• √2 = 1.414

• π = 22/7 = 3.14

• If we correct the decimals then we write the previous digits same if the number is less than 5 or we have to add 1 to previous number if the number is greater than or equal to 1.

• The absolute value of x = x
• |x| = x

• The absolute value of -x = x
• | -x | = x