Question

If √2 =1.414, then the value of √6 - √3 upto three place of decimal is
A. 0.235
B. 0.707
C. 1.414
D. 0.471

Answer 1

Given √2 = 1.414.

To find : value of  √6 - √3 upto three places of decimal .

Solution :  

We have , √6 - √3

= √2 × √3  - √3

= √3(√2 - 1)

= 1.732 (1.414 - 1)

[√3 = 1.732]

= 1.732 × 0.414

= 0.707

√6 - √3 = 0.707

Hence the value of  √6 - √3 upto three places of decimal is 0.707.

Among the given options option (B) 0.707 is correct.

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Similar questions :

Find the value of 6/ √5 - √3 , it being given that √3= 1.732 and √5 =2.236

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Find the value to three places of decimals of each of the following. It is given that

√2= 1.414,√3 = 1.732,√5 =2.236 and √10 = 3.162.

(i)2/√3 (ii)3/√10 (iii) √5 + 1 / √2 (iv) √10 + √15 / √2

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Answer 2

Step-by-step explanation:

If √2 =1.414, then the value of √6 - √3 upto three place of decimal is

A. 0.235

B. 0.707✅✅

C. 1.414

D. 0.471