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36 votes
36 votes
CAN U PLEAS HELP ME SIMPLIFY THIS AND PLEASE EXPLAIN YOUR REASONING THOROUGHLY BEHIND THIS


√(8)+√(50)

User Pylearner
by
3.0k points

2 Answers

20 votes
20 votes


\\ \sf\longmapsto √(8)+√(50)


\\ \sf\longmapsto √(2(2)(2))+√(2(5)(5))


\\ \sf\longmapsto 2√(2)+5√(2)


\\ \sf\longmapsto (2+5)√(2)


\\ \sf\longmapsto 7√(2)

User Kambala
by
2.7k points
23 votes
23 votes

Answer:

  • 7√2

Explanation:

Given:

  • √8 + √50

We can see that:

  • 8 = 4*2 = 2²*2 and
  • 50 = 25*2 = 5²*2

Since 2² and 5² are perfect squares we get:

  • √8 + √50 =
  • 2√2 + 5√2 =
  • (2 + 5)√2 =
  • 7√2
User Neuhaus
by
2.7k points