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Simplify the following radical expression

Simplify the following radical expression-example-1
User Zobeida
by
3.0k points

2 Answers

21 votes
21 votes

Answer:


\boxed{ \tt 2 √(6) - 13 √(3 ) + 4 √(2) }

or


\boxed{ \tt \approx - 12.1}

Explanation:

Simplify:


= \tt \sqrt{ {2}^(2) * 6} −5 √(12) +4√2−3√3


= \tt \: 2 √(6) - 5 √(12) + 4 √(2 ) - 3 √(3)


= \tt2 √(6) - \sqrt{ {2}^(2) * 3} + 4 √(2) - 3 √(3)


= \tt \: 2√6−5(2√3)+4√2−3√3


\tt = 2√6−10√3+4√2−3√3


\tt = 2 √(6) - 13 √(3 ) + 4 √(2)


\tt \approx \: - 12.1


\rule{225pt}{2pt}

User Windsinger
by
3.1k points
14 votes
14 votes

Answer:


2√(6) -13√(3) +4√(2)

Explanation:


√(24) -5√(12) +4√(2) -3√(3)


=√(4* 6) -5√(4* 3) +4√(2) -3√(3)


=√(4) * √(6) -5*√(4) * √(3) +4√(2) -3√(3)


=2√(6) -5*2√(3) +4√(2) -3√(3)


=2√(6) -10√(3) +4√(2) -3√(3)


=2√(6) -13√(3) +4√(2)

User Banane
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