Question

√216-5√6+√294-3/√6 Simplify.

Answer 1

Answer:

√216-5√6+√294-3/√6 = 15 √6 / 2

Step-by-step explanation:

√216-5√6+√294-3/√6

first simplify √216 & √294 & 3/√6

√216 = √6*6*6  = 6√6

√294 = √7*7*6 = 7√6

3/√6 = 3√6/6 = √6/2

using simplified values of √216 & √294 & 3/√6

= 6√6 - 5√6 + 7√6 - √6/2

= √6 ( 6 - 5 + 7 -1/2)

= √6 ( 8 -1/2)

= √6 (15/2)

=  15 √6 / 2

=

Answer 2

Step-by-step explanation:

√216=√6×6×6=6√6

√294=√7×7×6

3/√6=3√6/6=√6/2

6√6-5√6+7√6-√6/2

√6(6-5+7-1/2)

√6(8-1/2)

√6(15/2)

15√6/2