Rewrite Radicals
Convert the following expression to Exponential Form
sqrt(x)
x^(1/2)
Simplify the following radical:
sqrt(144)
sqrt(12)
sqrt(2)+sqrt(2)
2sqrt(2)
sqrt (4x) = 10
x = 25
A whole number that has a whole number as its square root is called...
sqrt0,sqrt1,sqrt4,sqrt9,sqrt16,...
Perfect Squares
Convert the following expression to Radical Form
f^(6/7)
root(7)(f^6)
Simplify the following radical:
sqrt(72)
6sqrt(2)
sqrt(6)*2sqrt(3)
6sqrt(2)
8sqrt(3x)=48
x = 12
Square Root Day was May 5th, 2025.
When will the next Square Root Day be?
June 6th, 2036 or 6/6/36
Convert the following expression to Radical Form
(3k)^(4/5)
root(5)(3^4k^4)
Simplify the following radical:
sqrt(90b^2)
3bsqrt(10)
sqrt(18)*sqrt(12)
6sqrt(6)
5sqrt((4x-8)/2) = 30
x = 20
If a square has side length 1, what is the length of its diagonal?
sqrt2
Convert the following expression to Exponential Form
(sqrt(6x))^3
6^(3/2)x^(3/2)
Simplify the following radicals:
-2sqrt(72)-3sqrt(24)+2sqrt(128)
4sqrt(2)-6sqrt(6)
sqrt(3)+sqrt(12)-sqrt(27)
0
sqrt(x/10) = sqrt(3x-58)
x = 20
What does the radical symbol √ come from?
(Hint: Latin Roots)
The Latin word radix, meaning “root.”
Convert the following expression to Exponential Form
root(3)(27a^6b^9c^7)
3a^(2)b^3c^(7/3)
Simplify the following radical:
2sqrt(72x^4y^3)
12x^2ysqrt(2x)
(sqrt(3))/(1+sqrt(2))
-(sqrt(3)+3)/2
x+4=sqrt(x+10)
x = -6 or x = -1
What civilization approximated √2 over 3,000 years ago, and whose estimate was accurate to several decimal places.
The Ancient Babylonians