Simplify the expression.
Leave in square root form.
(3*square root of 20) times (6*square root of 5)
change sqrt20 to 2sqrt5
And then what?
multiply
remember sqrt 5 * sqrt 5
= 5
To simplify the expression (3√20) × (6√5) and leave it in square root form, we can follow these steps:
Step 1: Simplify each square root separately.
√20 can be simplified as follows:
√20 = √(4 × 5)
= √4 × √5
= 2√5
Similarly, √5 cannot be simplified further.
Step 2: Multiply the simplified square roots.
(2√5) × (6√5) can be calculated as:
(2 × 6) × (√5 × √5)
= 12 × √(5 × 5)
= 12 × √25
= 12 × 5
= 60
Therefore, the simplified expression (3√20) × (6√5) equals 60.