Simplify by combining like terms. 3√24 -√54 + √6?

Answer 1

3√24 - √54 + √6 =

3√4√6 - √9 √6 + √6 =

3 x 2 √6 - 3 √6 + √6 =

6 √6 - 3 √6 + √6 =

6 - 3 √6 + √6 =

3 √6 + √6 =

3 + 1 √6 =

4 √6

- - - - - - - -s-

Answer 2

a million) let the more youthful boy's age be x and let the older boy's age be y ok, our first equation is that x + y = 24 it really is because the sum of their a lengthy time period is 24 so x (age of youthful boy) plus y (age of older boy) is 24. Your 2d equation is 6x - 4 = 3y + 5 it really is because the six circumstances the more youthful boy's age (x) minus 4 is an similar as 3 circumstances the older boy's age (y) plus 5. So now you sparkling up for x or y from the first equation (i am going to do x) x + y = 24 subsequently, x = 24 - y Now you're taking this fee and insert it into the 2d equation so 6x - 4 = 3y + 5 will develop into 6(24 - y) - 4 = 3y + 5 Now you sparkling up this: one hundred forty four - 6y - 4= 3y + 5 100 thirty 5 = 9y y = 15 so that you position that into the first equation: x + y = 24 x + 15 = 24 x = 9 So, the more youthful boy is 9 years old and the older boy is 15 years old. 2) let the dimensions be l and let the width be w So, the first equation is: l - w = 7 Our 2d equation is 2l + 2w is = 50 (because perimeter is the sum of all the perimeters so length two times and width two times) Now you exercising hardship-free what l is an similar as from the first equation: l - w = 7 subsequently, l = 7 + w Now you insert this fee into the 2d equation so: 2l + 2w = 50 will develop into 2(7 + w) + 2w = 50 Now you sparkling up: 14 + 2w + 2w = 50 4w + 14 = 50 4w = 36 w = 9 So now you insert this lower back into the unique equation: l = w + 7 so l = 9 + 7 l = 16 So the dimensions of the rectangle is 16 instruments and the width is 9 instruments. 3. let the smaller decision be x and let the better decision be y so, x + y = seventy six and y - x = 14 so now we make sure out what x is an similar as: x + y = seventy six x = seventy six - y Now you insert that into the 2d equation so y - x = 14 will develop into y - (seventy six - y) = 14 now we sparkling up: y - seventy six + y = 14 2y - seventy six = 14 2y = ninety y = 40 5 and we insert this fee into the first equation and we get x + 40 5 = seventy six x = 31 So the numbers are 31 and 40 5. the conception in the back of fixing maximum note issues is that: a million. You declare the variables (i.e. let the smaller decision be x and let the better decision be y) 2. Write the equations (i.e. x + y = `15 and y - x = a million) 3. sparkling up the equations (i.e. for the above equations x = 7 and y would equivalent to eight) 4. Write the answer in a sentence.

Answer 3

You're right. You try to separate each number under the square root into two numbers. 1-that divides into each number under the square root and leaves a 2nd number that you can take the square root of. For ex. 6 is the answer because 24=6x4, 54=6x9, and 6=6x1 and 4, 9, and 1 you can take the square root of and move it out to the front. Something that always helps me from there is to treat the square root of 6 like an unknown number. (i.e. x=sq. rt. of 6).
3(2)x * 3x * 1x. Hope this explains it instead of confusing you more.

Answer 4

I think this is it. Sorry have to use < as square root sign cause I can't fine it.

3(2)<6 - 3<6 + <6
<6 -2<6
4<6?

Answer 5

3_/24=6x4=2x3x2x2
6_/6
_/54=6x9=2x3x3x3
9_/6
_/6

6-3+1
3+1=4

4 sq rt 6 or 4_/6

Answer 6

3sqrt24-sqrt54+sqrt6=

3 sqrtof4*6-sqrt9*6+sqrt6
6sqrt6-3sqrt6+sqrt6= 4sqrt6