Question

Simplify the following 7 times the square root of 54 - 2 times the square root of 24

Answer 1

To simplify 7√54 - 2√24, we simplify the square roots first and then combine like terms.

Step-by-step explanation:

To simplify the expression 7√54 - 2√24, we need to simplify the square roots first. We can simplify √54 as 3√6, since 54 can be factored into 9 and 6. Similarly, we can simplify √24 as 2√6, since 24 can be factored into 4 and 6.

Now, we can substitute these simplified square roots back into the expression, giving us 7(3√6) - 2(2√6). Multiplying the coefficients and combining like terms, we get 21√6 - 4√6.

Finally, we can combine the terms with the common square root, resulting in (21 - 4)√6 = 17√6.

Answer 2

The first step for solving this problem is to simplify the radical
7
`√(54 - 2)` x 2√6
Calculate the product
14
`√((54 - 2) X 6)`
Subtract the numbers
14
`√(56 x 6)`
Simplify the radical
14 x 2
`√(13 x 6)`
Multiply the numbers
14 x 2√78
Finally,, calculate the product for your final answer
28√78
Let me know if you have any further questions
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