Question

Evaluate: 40 /(2√10+√20+√40−2√5−√80 ) when it is given that √5 = 2.236 and √10 = 3.162​

Answer 1

Step-by-step explanation:

S=510−−√+20−−√+40−−√−5–√−80−√

S=510+20+40−5−80

S=510+20+40−5−80

S=510−−√+4∗5−−−−√+4∗10−−−−−√−5–√−16∗5−√

S=510+4∗5+4∗10−5−16∗5

S=510+4∗5+4∗10−5−16∗5

=510−−√+25–√+210−−√−5–√−45–√

=510+25+210−5−45

=510+25+210−5−45

=5310−−√−35–√

=5(10−−√+5–√)3(10−−√−5–√)(10−−√+5–√)

=5310−35

=5(10+5)3(10−5)(10+5)=5310−35

=5(10+5)3(10−5)(10+5)

=5(10−−√+5–√)3∗5

=10−−√+5–√3

=3.162+2.2363

=1.79933