Question

Fully simplify the following: 3 ⋅squreed by 100 −3⋅5

Answer 1

Let's simplify the expression step by step. The expression you've provided is \( 3 \cdot \sqrt{100} - 3 \cdot 5 \).

1. First, calculate \( \sqrt{100} \):
\[
\sqrt{100} = 10
\]

2. Now substitute \( \sqrt{100} \) back into the expression:
\[
3 \cdot 10 - 3 \cdot 5
\]

3. Now, calculate \( 3 \cdot 10 \) and \( 3 \cdot 5 \):
\[
3 \cdot 10 = 30
\]
\[
3 \cdot 5 = 15
\]

4. Substitute these values back into the expression:
\[
30 - 15
\]

5. Finally, perform the subtraction:
\[
30 - 15 = 15
\]

Thus, the fully simplified expression is \(\boxed{15}\).