Question

√8×√4(2x+3x)=?

a) 15x
b) 18x
c) 24x
d) 30x

Answer 1

The correct answer to the given expression √8×√4(2x+3x) is 40√2x after simplifying and combining like terms, which is not listed among the provided options.

Step-by-step explanation:

To solve the expression √8×√4(2x+3x), we'll break it down step by step:

1. Simplify the square roots: √8 can be rewritten as 2√2 and √4 is 2, as both 8 and 4 are perfect squares.
2. Distribute the square root of 4 across the parenthesis: 2×(2x+3x) simplifies to 4(2x+3x).
3. Add the like terms inside the parenthesis: 2x+3x becomes 5x.
4. Multiply 4 by 5x, which gives us 20x.
5. Now, remember we haven't used the 2√2 yet, so we multiply it by 20x, which gives us 40√2x.

The answer is not one of the options a) 15x, b) 18x, c) 24x, or d) 30x; instead, the correct answer is 40√2x.