Radical stuff

Adding integers because jeopardy labs doesn't let me do radical signs without upgrading. Btw no calculators

50

4+7

11

100

-2+6-8

-4

200

-3 - (-2) +9 +(-8)

0

400

80-25-71

-16

2000

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15

120

Radical rules

50

To multiply radicals....

Coefficients multiply with______________

Radicands multiply with _____________

Coefficients

Radicands

100

To add or subtract radicals they must have ___________________

Like-radicals

200

When adding or subtracting radicals only add or subtract the ________________

Coefficients

400

When multiplying a radical by the same radical, the radical symbols gets _________________

Canceled out (via inverse operations)

2000

When simplifying 3 times the square root of 25, What happens to the coefficient of 3?

it gets multiplied with the square root of 25. 3x5=15

ABC

50

x²+3x+5=0

A=1

B=2

C=3

100

-x²-5x+32=0

A=-1

B=-5

C=32

200

3x²+18=0

A=3

B=0

C=18

400

-6x²+3x=-4

A=-6

B=3

C=4

2000

x²+7x+10=-11x-3x²+15

A=4

B=18

C=-5

like radicals

50

Is the square root of 25 a like radical with the square root of 36

yes and no. after simplifying they just become integers

100

is the square root of 3 a like radical with the square root of 18?

no, even after simplifying

200

is the square root of 20 a like radical with the square root of 8?

After simplifying, yes (see hummel's white board)

400

to be like radicals, they must have the same_________, ________, and _________

Radicand, variable, and exponent

2000

Why can you not combine 4 and the square root of 30 through adding?

4 does not have any radicals to make a like-radical with the square root of 30