CAN U PLEAS HELP ME SIMPLIFY THIS AND PLEASE EXPLAIN YOUR REASONING THOROUGHLY BEHIND THIS √(8)+√(50)

Question

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


`√(8)+√(50)`

Answer 1

`\\ \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)`

Answer 2

• 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