Square Roots & Cube Roots
Find the cube root of -512.
-8
Simplify √48
4 √3
In order to add radicals, which of the following must be true?
(a) The radicals must have the same index
(b) The radicals must have the same radicand
(c) The radicals must have the same number outside the radical sign
(d) Both a and b
d. both a and b
-6sqrt10 - 8sqrt10
-14sqrt10
Generally speaking, in order to multiply radicals, which of the following must be true?
(a) The radicals must have the same index
(b) The radicals must have the same radicand
(c) The radicals must have the same number outside the radical sign
(d) Both a and b
a
Simplify:
sqrt39/sqrt13
sqrt3
Simplify:
1/sqrt6
sqrt6/6
Order these numbers from least to greatest.
4^-2, 7%, 1/15, 0.overline6, 2/29, 0.068
4^-2, 1/15, 0.068, 2/29, 0.overline6
Simplify √147
7√3
Add the following radicals: 4√3 + 2√3 + 7√3.
13√3
DOUBLE POINTS!
-6√28 - √175
- 17√7
Multiply the following radicals: (√5)(√8). Simplify if necessary.
2√10
Simplify:
sqrt44/sqrt11
2
Simplify:
sqrt[25/3]
[5sqrt3]/3
Identify the two consecutive integers in which the square root lies between.
-13, -12
√125
5√5
-8√90 + 7√10
-17√10
√2 - 2√18
-5√2
Multiply the following radicals: (√10)(3√20)
30√2
Simplify:
[7sqrt60]/sqrt3
14sqrt5
Simplify:
5/[6sqrt2]
[5sqrt2]/12
Estimate the square root to the nearest tenth.
sqrt61
approx 7.8
Simplify -3√28
-6√7
Add the following radicals: √8 + √98 + √72.
15√2
Subtract the following radicals: 6√5 - √125.
√5
Multiply the following radicals: (-3√28)(√3)
-6√21
Simplify:
[2sqrt15]/[6sqrt12]
sqrt5/6
Simplify:
[4sqrt28]/[8sqrt12]
sqrt21/6
Estimate the square root to the nearest tenth.
-sqrt372
-19.3
Simplify 4√112
16√7
√48 + 3√75
19√3
Add/Subtract the following radicals: 7√18 + 2√25 - 3√72.
10 + 3√2
Multiply the following radicals: 4√6(5√6)
120
Simplify:
[14sqrt30]/[4sqrt54]
[7sqrt5]/6
Simplify:
4/[6sqrt7]
[2sqrt7]/21