Question

State whether true or false in the following:

`sqrt(3)sqrt(27) = 9`

Answer 1

This statement is true.

Explanation:

Step 1: Use the property of square roots

`sqrt(3) xx sqrt(27) = sqrt(3 xx 27)`

Step 2: Simplify inside the square root

3 × 27 = 81

So, `sqrt(3) xx sqrt(27) = sqrt(81)`

Step 3: Evaluate

`sqrt(81) = 9`

Step 4: Compare both sides

• LHS = 9
• RHS = 9

They are equal.