Question

State whether true or false in the following: 

`sqrt(8 - 1) = 7/sqrt(7)`

Answer 1

This statement is true.

Explanation:

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

`sqrt(8 - 1) = sqrt(7)`

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

`7/sqrt(7) = 7/sqrt(7) xx sqrt(7)/sqrt(7)`

= `(7sqrt(7))/7`

= `sqrt(7)`

Step 3: Compare both sides

LHS = `sqrt(7)`

RHS = `sqrt(7)`

Since both are equal.