Question

Find the exact value of x.

Answer 1

x is 8√2.

Explanation:

Answer 2

8√2

Explanation:

Idea 1 : (Pythagorean theorem)

2x² = 16²

then

2x² = 256

then

x² = 256/2 = 128

then

x = √128

then

x = √(64×2)

then

x = √64 × √2

then

x = 8√2

………………………………………………………

Idea 2 : (diagonal of a square)

16 is the diagonal of a square with side square of lengths x

Then

x√2 = 16

Then

`x = (16)/(√(2) ) =(8*2)/(√(2) ) =(8*√(2) * √(2) )/(√(2) ) =8√(2)`