Question

State whether true or false in the following: 

`sqrt(9 + 7) = 3 + sqrt(7)`

Answer 1

This statement is false.

Explanation:

Step 1: Simplify the left-hand side (LHS)

`sqrt(9 + 7) = sqrt(16) = 4`

Step 2: Simplify the right-hand side (RHS)

`3 + sqrt(7)`

Since `sqrt(7) ≈ 2.645`,

`3 + sqrt(7) ≈ 3 + 2.645 = 5.645`

Step 3: Compare both sides

LHS = 4

RHS = 5.645

Clearly, they are not equal.