$\sqrt[3]{64}=4$, want $4^3=64$.

$\sqrt[3]{\text{-}343}=\text{-}7$, want ${(\text{-}7)}^3=\text{-}343$.

$\sqrt[4]{16}=2$, want $2^4=16$.

$\sqrt[4]{\text{-}16}$ bestaat niet, want er is geen getal waarvan de vierde macht $\text{-}16$ is.

$\sqrt[5]{243}=3$, want $3^5=243$.

Omdat hij hoort bij het terugrekenen vanuit een kwadraat, dus een tweede macht.

`5sqrt(15) - sqrt(3)*sqrt(5) = 5*sqrt(15) - sqrt(15) = 4*sqrt(15)`

`(4*sqrt(42))/(2sqrt(3)) + 2sqrt(2)*sqrt(7) = 2*sqrt(14) + 2*sqrt(14) = 4*sqrt(14)`

Omdat derde machten ook negatief kunnen zijn. Bijvoorbeeld $\sqrt[3]{\text{-}64}=\text{-}4$ omdat ${(\text{-}4)}^3=\text{-}64$.

`5root[3](15) - root[3](3)*root[3](5) = 5*root[3](15) - root[3](15) = 4*root[3](15)`

`(4*root[3](42))/(2root[3](3)) + 2root[3](2)*root[3](7) = 2*root[3](14) + 2*root[3](14) = 4*root[3](14)`

`4*2^5 - 400/(sqrt(16)) = 28`

`((2^3+3^2)^2)/17 - root[3](64) = 13`

`(2 * root[3](2))^3 = 16`

`sqrt(30) + 4sqrt(2)*sqrt(15) = sqrt(30) + 4*sqrt(30) = 5*sqrt(30)`

`(sqrt(5))^5 - sqrt(5) = sqrt(5)^2 * sqrt(5)^2 * sqrt(5) - sqrt(5) = 25*sqrt(5) - sqrt(5) = 24*sqrt(5)`

`sqrt(2)*sqrt(5) + 5/(2sqrt(10)) = sqrt(10) + (5*sqrt(10))/(2*sqrt(10)*sqrt(10)) = sqrt(10) + (5*sqrt(10))/20 = sqrt(10) + 1/4 * sqrt(10) = 1 1/4 sqrt(10)`

`root[3](2)*root[3](3) - (root[3](36))/(root[3](6)) = root[3](6) - root[3](36/6) = 0`

`sqrt(2 1/4) = sqrt(9/4) = 3/2 = 1 1/2`

`sqrt(1 1/4) ~~ 1,118`

`root[3](66) ~~ 4,041`

`root[3](3 3/8) = root[3](27/8) = 3/2 = 1,5`

$\sqrt{1024}=32$ want ${32}^2=1024$.

$\sqrt[5]{1024}=4$ want $4^5=1024$

$\sqrt[10]{1024}=2$ want $2^{10}=1024$

`3*sqrt(16)+sqrt(2)*sqrt(8) = 3*4 + sqrt(16) = 12 + 4 = 16`

`(root[4](10))^8 = (root[4](10))^4 * (root[4](10))^4 = 10 * 10 = 100`

$\frac{10}{\sqrt{5}}-\sqrt{5}=\frac{10\sqrt{5}}{5}-\sqrt{5}=2\sqrt{5}-\sqrt{5}=\sqrt{5}$

`(2*root[3](16))/(root[3](8)) - root[3](2) = 2*root[3](16/8) - root[3](2) = 2*root[3](2) - root[3](2) = root[3](2)`

`(sqrt(81) - 4)^2//(5^2 - sqrt(6^2 + 8^2)) = 5^2 // (25 - 10) = 25//15 = 5/3`

`root[3](10^2//2 + 4*5 - sqrt(3)*sqrt(12)) = root[3](50 + 20 - sqrt(36)) = root[3](70 - 6) = root[3](64) = 4`

`sqrt(4^2+8^2) = sqrt(80) = 4sqrt(5)`
`sqrt(4^2+12^2) = sqrt(160) = 4sqrt(10)`
`sqrt(8^2+12^2) = sqrt(208) = 4sqrt(13)`

`sqrt(4^2+8^2+12^2) = sqrt(224) = 4sqrt(14)`

`V = 1,5*(0,6)^4 = 0,194` L/s

Zie tabel, maak er een grafiek bij.

`R` (in cm)	`0`	`0,4`	`0,5`	`0,6`	`0,7`	`0,8`	`0,9`	`1`
`V` (in l/s)	`0`	`0,038`	`0,094`	`0,194`	`0,360`	`0,614`	`0,984`	`1,5`

`V = 12` L/min `= 0,2` L/s; geschatte diameter: `1,2` cm ( `2*0,6` cm).

`V` (in l/s)	`1,5`	`15`	`25`	`125`
`R` (in cm)	`1`	`1,7`	`2,1`	`3,1`

`0,707` m; `7,07` dm.

`52,34` dm²

`7,23` dm.

Speling.

`12`

`root3(text(-)216)=text(-)6`

`sqrt(125) ~~ 11,180`

`root[3](100) ~~ 4,642`

`(2^5 - 12)//(sqrt(64)-sqrt(9)) = 20//(8-3) = 50//5 = 4`

`(sqrt(75) // sqrt(3) - 2)^4 = (sqrt(25) - 2)^4 = (5-2)^4 = 3^4 = 81`

`5*sqrt(15)`

`5*sqrt(2)`