10.1
Find the square root. Assume that all variables represent POSITIVE real numbers.
sqrtx^14
x^7
Use the radical notion to write the expression and simplify.
16^(1/2)
4
Assume all variables represent positive real numbers
sqrt(5) * sqrt(6)
sqrt(30)
Assume all variables represent positive real numbers
3sqrt(3) + 9sqrt(27)
3sqrt(3) + 27sqrt(3)
Solve
sqrt(6x) = 3
x=3/2
Assume that all variables represent positive real numbers.
sqrt-144
DNE
Use radical notation to write the expression and simplify.
(1/16)^(1/2)
1/4
Assume all variables represent positive real numbers.
sqrt(7x^3) * sqrt(7x^5)
7x^4
Assume all variables are positive real numbers
sqrt(112) - sqrt(448)
-4sqrt7
Solve
sqrt(x+5)=4
x=11
Find the cube root
root(3)1000
10
Use radical notation to write the expression and simplify.
8x^(1/4)
8root(4)(x)
Use the quotient rule to divide and simplify
sqrt(48/49)
4sqrt(3)
Assume all variables represent positive real numbers
sqrt162 +3sqrt128 -8sqrt72
-15sqrt2
Solve
sqrt(4x)=-2
EXTRANEOUS
Find the cube root.
root(3)(-64x^24y^30)
-4x^8y^10
Use the radical notation to write the expression and simplify.
(8/64)^(2/3)
1/4
Use the quotient rule to divide and simplify
root(3)(48x^(7))/(root(3)(6x))
2x^2
Assume all variables represent positive real numbers
14root(3)(2)-3root(3)(54)
5root(3)(2)
Solve
sqrt(x+3)-9=0
x=78
Assume that all variables are nonnegative real numbers.
-root(4)(16x^12y^8)
-2x^3y^2
Write with positive exponents.
36^(-3/2)
1/216
Simplify the radical expression and assume that all variables represent positive real numbers
root(3)(128)
4root(3)(2)
Assume all variables represent positive real numbers
sqrt(2a) + 4sqrt(72a) - 2sqrt(32a)
17sqrt(2a)
Solve
sqrt(3x+4)+3=0
Extraneous
Assume that all variables represent any real numbers.
sqrt(81x^2)
9abs(x)
Write with positive exponents and simplify.
-32^(-4/5)
-1/16
Simplify and assume that all variables are positive real numbers
sqrt(y^13)
y^6sqrt(y)
Assume all variables represent positive real numbers
12root(4)(x^7) -4xroot(4)(x^3)
8xroot(4)(x^3)
Solve
root(3)(3x)=-5
x=-125/3
Assume that all variables represent any real number
sqrt((x-4)^2)
abs(x-4)
Simplify and write with positive exponents
y^(3/4)/y^(1/4)
y^(1/2)
Find the distance between the pair of points
(5,1) and (-6,-2)
sqrt(130)
Simplify and assume all variables represent positive real numbers
sqrt5(sqrt35 + sqrt5)
5sqrt7 + 5
Solve
root(3)(x+2)-3=0
x=25
f(x)=sqrt(2x-7), find the value of f(11)
sqrt(15)
Simplify and write with positive exponents
(-5p^(3/5) +3p^(4/5))(-5p^(3/5)+3p^(4/5))
25p^(6/5)-30p^(7/5)+9p^(8/5)
Simplify the radical expression. Assume that all variables represent positive real numbers.
root(3)(-64a^14b^13)
-4a^4b^4root(3)(a^2b)
Rationalize the denominator and simplify. Assume all variables represent positive real numbers
root(3)(5/9)
root(3)(15)/3
Solve
sqrt(8x-10)=sqrt(x+12)
x=22/7