Question

Write 14/√2 + √50 in the form b√2 where b is an integer.

Answer 1

`12 √(2)`

Explanation:

Taking the terms one at a time,

`(14)/( √(2) ) \\ (14 * √(2) )/( √(2) * √(2) ) \\ (14 √(2) )/(2) \\ 7 √(2)`

`√(50) \\ √(25 * 2) \\ √(25)* √(2) \\ 5 * √(2) \\ 5 √(2)`

Adding the terms, you have;

`7 √(2) + 5 √(2) =(7 + 5) √(2) = 12 √(2)`

Hope it helps!

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Answer 2

12

Explanation:

14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2

12√2= b√2

b=12