multiply. write the product in simplest form.
√9(√3 + √8)
is 3√3 + 6√2 a good answer too? because thats my answer is it right?
Apologies for the mistake in the previous response. You are correct; 3√3 + 6√2 is indeed the correct and simplified form of √9(√3 + √8). The simplification of √9 is 3√3, and the simplification of √8 is 2√2. So the final answer, after distributing and combining like terms, is 3√3 + 6√2. Thank you for catching that error!
To multiply √9(√3 + √8), we will distribute the √9 to both terms inside the parentheses:
√9 * √3 + √9 * √8
Since the square root of 9 is 3:
3 * √3 + √9 * √8
Similarly, the square root of 8 can be simplified:
3 * √3 + √(4 * 2)
Since 4 * 2 = 8:
3 * √3 + √(4) * √(2)
The square root of 4 is 2:
3 * √3 + 2 * √2
So, the simplest form of √9(√3 + √8) is 3√3 + 2√2.