SOLUTION: Please help to simplify the following -6 times the square root of 2 (5 times the square root of 2 - 5 times the square root of 10)

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Question 64122This question is from textbook An Incremental Development
: Please help to simplify the following
-6 times the square root of 2 (5 times the square root of 2 - 5 times the square root of 10) This question is from textbook An Incremental Development

Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
-6sqrt%282%29%2A%285sqrt%282%29-5sqrt%2810%29%29
Multiply front term by each term in the brackets
-6sqrt%282%29%2A5sqrt%282%29-%28-6sqrt%282%29%29%2A5sqrt%2810%29
Multiply whole numbers then multiply the radicals
-30sqrt%284%29-%28-30sqrt%2820%29%29
-30%2A2-%28-30sqrt%284%29%2Asqrt%285%29%29
-60-%28-30%2A2%2Asqrt%285%29%29
-60-%28-60%2Asqrt%285%29%29
Take away a negative is the same as adding a positive.
-60%2B60%2Asqrt%285%29