Adding integers because jeopardy labs doesn't let me do radical signs without upgrading. Btw no calculators
4+7
11
To multiply radicals....
Coefficients multiply with______________
Radicands multiply with _____________
Coefficients
Radicands
√(45)
3√(5)
What is the first step of simplifying a radical?
Finding its Factors
Is the square root of 25 a like radical with the square root of 36
yes and no. after simplifying they just become integers
-2+6-8
-4
To add or subtract radicals they must have ___________________
Like-radicals
√(75)
5√(3)
Simplify
√(4x^2)
2x
is the square root of 3 a like radical with the square root of 18?
no, even after simplifying
-3 - (-2) +9 +(-8)
0
When adding or subtracting radicals only add or subtract the ________________
Coefficients
2√(12)
4√(3)
Simplify
√(12x^3)
2x√(3x)
is the square root of 20 a like radical with the square root of 8?
After simplifying, yes (see hummel's white board)
80-25-71
-16
When multiplying a radical by the same radical, the radical symbols gets _________________
Canceled out (via inverse operations)
√(384)
8√(6)
Simplify
√(23x^10)
x^5√(23)
to be like radicals, they must have the same_________, ________, and _________
Radicand, variable, and exponent
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15
120
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
-7√(96)
-28√(6)
Simplify
√(324x^15y^8)
18x^7y^4√(x)
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