Question

if root 2 is equal to 1.414 and root 3 is equal to 1.732 then find the value of root 6 minus 1 upon root 3 upto 3 decimal places​

Answer 1

Answer:

√2 = 1.414

√3 = 1.732

√6-1/√3 = ?

√6 = √2×√3

replacing √6 by √2×√3

(√2×√3)-1/√3

(√2×√3)/√3 -1/√3

= √2-1/√3

by putting values of √2 and √3

1.414 -1/1.732

1.414 -0.577

= 0.837

Answer 2

Answer:

(i) The value of √6 - (1/√3) up to 3 decimal point will be 1.872

(ii) The value of (√6 - 1) / √3 up to 3 places of decimal point will be 0.837

Step-by-step explanation:

The question here can be took in two ways.

(i) √6 - (1/√3)

(ii) (√6 - 1) / √3

The following are the solutions of both the ways :

Given,

√2 = 1.414

√3 = 1.732

(i) √6 - (1/√3) :

We known that,

√6 = √2 × √3 = (1.414)×(1.732)

Then,

√6 - (1/√3) = (1.414)×(1.732) - 1/(1.732) =

= 2.449048 - 0.577367

= 1.871681 = 1.872

Hence, √6 - (1/√3) = 1.872

(ii) (√6 - 1) / √3 :

We know that,

√6 = √2 × √3 = (1.414)×(1.732)

Then,

(√6 - 1) / √3 = [(1.414)×(1.732) -1] /(1.732)

= (2.449048 - 1) / (1.732)

= 1.449048 / 1.732

= 0.83663279445 = 0.837

Hence, (√6 - 1) / √3 = 0.837