Question

find to three places of decimals, the value of each of the following 1/4√3–3√5​

Answer 1

Answer:

1   /   ( 4√3  - 3√5 )

( Rationalizing the   denominator )

{ 1 / ( 4√3  - 3√5 ) }  x   ( 4√3  +  3√5 )  / ( 4√3  +  3√5 )

=  ( 4√3  +  3√5 )   /   { ( 4√3 )^2  - ( 3√5 ) ^2 }

=  ( 4√3  +  3√5 )   /    ( 48 - 45 )

=  ( 4 x 1.732  +  3 x 2.236 )   /   3

=  ( 6.928  +  6.708 )   /   3

=  13.636   /   3

=4.5453 (apprx )

Step-by-step explanation:

Answer 2

Answer:

Step-by-step

This is an indication to round up, so the 1 should become 2, making pi rounded to three decimal places 3.142. Example 2: The square root of 2 is a number that scientists often encounter. Here it is to 10 decimal places: 1.4142135623. Note that the third number in the decimal series is 4, and the number after it is 2.