Question

Does anyone know this? Need it ASAP.

Answer 1

Answer:
`12*√(2)`

Explanation:

We have the equation:

`(14)/(√(2) ) + √(50)`

we know that:

14*14 = 196

then:

14 = √196

`(√(196) )/(√(2) ) + √(50) = √(196/2) + √(50) = √(98) + √(50)`

Now, we can rewrite:

50 = 2*25

98 = 2*49

This is because we know that 49 and 25 are perfect squares, then:

`√(98) + √(50) = √(2*49) +√(2*25) = √(2) *√(49) + √(2) *√(25)`

Now we can use the common factor √2 and get:

`√(2) *√(49) + √(2) *√(25) = √(2)*(√(49) + √(25) )`

and we know that:

7*7 = 49

5*5 = 25

then:

`√(2)*(√(49) + √(25) ) = √(2)*(7 + 5) = 12*√(2)`

the value of b is:

b = 12