# 2asqrt9a^3b - 3bsqrt20a^2b + 2a^2sqrt16ab

Help?!

2,965,368 round this to the nearest hundred thousand.

any suggestions?

the hundred thousanth place is the 6 in the thousanths place. the number before that is 5. so 6 changes to 7 and the rest zero. like this 2,970,000.

i hink that's it.

## To simplify the expression 2asqrt9a^3b - 3bsqrt20a^2b + 2a^2sqrt16ab, we can simplify each term individually.

For the first term, 2asqrt9a^3b, we can simplify the square root of 9 to 3, and the square root of a^3 to a^(3/2). The expression becomes 2a * 3 * a^(3/2) * b, which simplifies further to 6a^(5/2)b.

For the second term, -3bsqrt20a^2b, we can simplify the square root of 20 to 2√5, and the square root of a^2 to a. The expression becomes -3b * 2√5 * a * b, which simplifies further to -6ab√5.

For the third term, 2a^2sqrt16ab, we can simplify the square root of 16 to 4, and the square root of ab to √ab. The expression becomes 2a^2 * 4 * √ab, which simplifies further to 8a^2√ab.

Putting it all together, the simplified expression is 6a^(5/2)b - 6ab√5 + 8a^2√ab.

Now, for rounding 2,965,368 to the nearest hundred thousand, we look at the digit in the hundred thousandth place, which is 6. Since the digit to its right is 5 or greater, we round up. We change the digit 6 to 7 and set all the digits to its right to zero. Therefore, the rounded value is 2,970,000.