2 times the sq rt of 5 + 3 times the sq rt of 7 ^2
2√5 * 3√(7^2)
= 2√5 * 21
= 42√5
2*sqrt(5) + 3*sqrt(49) = 2*sqrt5 + 3*7 = (2*sqrt5) + 21.
To simplify the expression, let's start by breaking it down step by step.
Step 1: Simplify the term inside the parentheses.
The expression 3 times the square root of 7^2 can be written as 3 * √7^2.
Since 7^2 equals 49, we have 3 * √49.
The square root of 49 is 7, so we can further simplify to 3 * 7.
Step 2: Simplify the term outside the parentheses.
We have 2 times the square root of 5.
There are no simplifications we can do with this term, so we leave it as it is.
Step 3: Combine the terms.
We have 2 times the square root of 5 plus 3 times 7.
First, multiply 3 by 7 to get 21.
Then, combine this result with 2 times the square root of 5: 2√5 + 21.
So, the simplified expression is 2√5 + 21.