Square Roots & Estimating
sqrt49
7
Convert to a mixed radical:
sqrt12
2sqrt3
3sqrt5+4sqrt5
7sqrt5
sqrt2*sqrt3
sqrt6
a^5*a^3
a^8
sqrt144
12
Convert to an entire radical:
3sqrt7
sqrt63
6sqrt3-2sqrt3
4sqrt3
sqrt5/sqrt2
sqrt10/2
x^7/x^2
x^5
sqrt40
6.3
Convert to a mixed radical:
sqrt75
5sqrt3
-sqrt7+3sqrt7-4sqrt7
-2sqrt7
sqrt2*-3sqrt5
-3sqrt10
(4b^3)^2
16b^6
sqrt57
7.5
Convert to an entire radical:
3sqrt11
sqrt99
-3sqrt24-sqrt6+3sqrt24
-sqrt6
(4sqrt3)/(2sqrt5)
(2sqrt15)/5
(3u^3v^2)^2
9u^6v^4
sqrt172
13.1
Rudy is trying to convert an entire radical to a mixed radical, but he got the wrong answer. What mistake did he make? What should the right answer be?
sqrt80
sqrt(4*20)
2sqrt(4*5)
8sqrt5
His mistake was from Step 3 to 4. When he brought the 4 out of the square root, he didn't square root it.
The answer should be
4sqrt5
2sqrt27+3sqrt12-2sqrt3+2sqrt12
14sqrt3
(4sqrt15)/(2sqrt10)
sqrt6
(x^2y^4*x^2y^-2)/(x^0)
x^4y^2