Question

What is the value of the following expression? √(8^2 + 6^2)

Answer 1

10

Explanation:

Answer 2

Answer is 10

Explanation:

`{ \tt{ \sqrt{ {8}^(2) + {6}^(2) } }}`

- Solve the radical;

`= { \tt{ √(64 + 36) }} \\ = { \tt{ √(100) }} \: \: \: \: \: \:`

- We know that 100 = 10²

`{ \tt{ = \sqrt{ {10}^(2) } }} \\ = { \tt{( {10}^(2)) {}^{ (1)/(2) } }} \\ ={ \tt{ {10}^{(2 * (1)/(2)) } }} \\ { \tt{= 10}} \: \: \: \: \: \: \:`

Note: √x = x^½