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2 votes
On simplifying (3+√3 )(5- √2), the value is

A. 112
B. 18
C. 6
D. 21

no spam and please explain ur answer .​

User Jeemusu
by
3.8k points

1 Answer

4 votes

Answer:

18

Explanation:

( 3 + √3 ) ( 5 - √2 )

= 3 ( 5 - √2 ) + √3 ( 5 - √2 )

= 15 - 3√2 + 5√3 - √6

√2 = 1.41 ( approximately )

3√2

= 3 x 1.41

= 4.23

√6 = 2.44

√3 = 1.73

5√3

= 5 x 1.73

= 8.65

15 - 3√2 + 5√3 - √6

= 15 - 4.23 + 8.63 - 2.44

= 15 + 8.63 - 4.23 - 2.44

= 15 + 8.63 - 6.67

= 15 + 1.93

= 16.93

Rounding of 16.93 = 17

17 is near to 18.

So, 18 can be the answer.

User Sangeet
by
3.1k points