If
$\text{\hspace{0.17em}}a\text{\hspace{0.17em}}$ and
$\text{\hspace{0.17em}}b\text{\hspace{0.17em}}$ are nonnegative, the square root of the product
$\text{\hspace{0.17em}}ab\text{\hspace{0.17em}}$ is equal to the product of the square roots of
$\text{\hspace{0.17em}}a\text{\hspace{0.17em}}$ and
$\text{\hspace{0.17em}}b.\text{\hspace{0.17em}}$
$\sqrt{ab}=\sqrt{a}\cdot \sqrt{b}$
Given a square root radical expression, use the product rule to simplify it.
Factor any perfect squares from the radicand.
Write the radical expression as a product of radical expressions.
$5\left|x\right|\left|y\right|\sqrt{2yz}.\text{\hspace{0.17em}}$ Notice the absolute value signs around
x and
y ? That’s because their value must be positive!
Just as we can rewrite the square root of a product as a product of square roots, so too can we rewrite the square root of a quotient as a quotient of square roots, using the
quotient rule for simplifying square roots. It can be helpful to separate the numerator and denominator of a fraction under a radical so that we can take their square roots separately. We can rewrite
$\text{\hspace{0.17em}}\sqrt{\frac{5}{2}}\text{\hspace{0.17em}}$ as
$\text{\hspace{0.17em}}\frac{\sqrt{5}}{\sqrt{2}}.$
The quotient rule for simplifying square roots
The square root of the quotient
$\text{\hspace{0.17em}}\frac{a}{b}\text{\hspace{0.17em}}$ is equal to the quotient of the square roots of
$\text{\hspace{0.17em}}a\text{\hspace{0.17em}}$ and
$\text{\hspace{0.17em}}b,$ where
$\text{\hspace{0.17em}}b\ne 0.$
$\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$
Given a radical expression, use the quotient rule to simplify it.
Write the radical expression as the quotient of two radical expressions.
$\frac{x\sqrt{2}}{3{y}^{2}}.\text{\hspace{0.17em}}$ We do not need the absolute value signs for
$\text{\hspace{0.17em}}{y}^{2}\text{\hspace{0.17em}}$ because that term will always be nonnegative.
We can add or subtract radical expressions only when they have the same radicand and when they have the same radical type such as square roots. For example, the sum of
$\text{\hspace{0.17em}}\sqrt{2}\text{\hspace{0.17em}}$ and
$\text{\hspace{0.17em}}3\sqrt{2}\text{\hspace{0.17em}}$ is
$\text{\hspace{0.17em}}4\sqrt{2}.\text{\hspace{0.17em}}$ However, it is often possible to simplify radical expressions, and that may change the radicand. The radical expression
$\text{\hspace{0.17em}}\sqrt{18}\text{\hspace{0.17em}}$ can be written with a
$\text{\hspace{0.17em}}2\text{\hspace{0.17em}}$ in the radicand, as
$\text{\hspace{0.17em}}3\sqrt{2},$ so
$\text{\hspace{0.17em}}\sqrt{2}+\sqrt{18}=\sqrt{2}+3\sqrt{2}=4\sqrt{2}.$
Given a radical expression requiring addition or subtraction of square roots, solve.
how we can draw three triangles of distinctly different shapes. All the angles will be cutt off each triangle and placed side by side with vertices touching
The anwser is imaginary
number if you want to know The anwser of the expression
you must arrange The expression and use quadratic formula To find the
answer
master
The anwser is imaginary
number if you want to know The anwser of the expression
you must arrange The expression and use quadratic formula To find the
answer
master
Y
master
X2-2X+8-4X2+12X-20=0
(X2-4X2)+(-2X+12X)+(-20+8)= 0
-3X2+10X-12=0
3X2-10X+12=0
Use quadratic formula To find the answer
answer (5±Root11i)/3
master
Soo sorry (5±Root11* i)/3
master
x2-2x+8-4x2+12x-20
x2-4x2-2x+12x+8-20
-3x2+10x-12
now you can find the answer using quadratic
Mukhtar
2x²-6x+1=0
Ife
explain and give four example of hyperbolic function
I think the formula for calculating algebraic is the statement of the equality of two expression stimulate by a set of addition, multiplication, soustraction, division, raising to a power and extraction of Root. U believe by having those in the equation you will be in measure to calculate it