Adding integers because jeopardy labs doesn't let me do radical signs without upgrading. Btw no calculators
Radical rules
Simplify 1
Common Bases
like radicals
50

4+7

11

50

To multiply radicals....

Coefficients multiply with______________

Radicands multiply with _____________

Coefficients

Radicands

50

√(45)

3√(5)

50

What is the first step of simplifying a radical?

Finding its Factors

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

-2+6-8

-4

100

To add or subtract radicals they must have ___________________

Like-radicals

100

√(75)

5√(3)

100

Simplify

√(4x^2)

2x

100

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

no, even after simplifying

200

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

0

200

When adding or subtracting radicals only add or subtract the ________________

Coefficients

200

2√(12)

4√(3)

200

Simplify

√(12x^3)

2x√(3x)

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

80-25-71

-16

400

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

Canceled out (via inverse operations)

400

√(384)

8√(6)

400

Simplify

√(23x^10)

x^5√(23)

400

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

Radicand, variable, and exponent

2000

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

120

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

2000

-7√(96)

-28√(6)

2000

Simplify

√(324x^15y^8)

18x^7y^4√(x)

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