algebra II, 7 questions, please help? I've tried everything and I still don't know these
I will fan and give medal
i will try if i can help
give me one or some of them
question 2: rationalize the denomenator
4.66001381463
thats not one of my choices
show me your choices
16.8209311619
is that one of your choices?
or 9.7
im pretty sure its 9.7
MY CHOICES ARE:
Rationalize the denominator by multiplying by its conjugate:\[\frac3{6-\sqrt5}\times\frac{6+\sqrt5}{6+\sqrt5}=\frac{18+3\sqrt5}{31}\]
There is seven questions, the first one im trying to do is
Distribute:\[\sqrt5(10-4\sqrt2)=10\sqrt5-4\sqrt10\]
multiply by 6+sqrt(x)
identify the conjugate of
4-sqrt(7) i think
The conjugate of an expression with a square root like \(a+b\sqrt{c}\) is always given by \(a-b\sqrt{c}\). The point of this whole concept is that it aids in simplifying expressions, since multiplying the expression by its conjugate yields a difference of squares free of radicals: \((a+b\sqrt{c})(a-b\sqrt{c})=a^2-ab\sqrt{c}+ab\sqrt{c}-b^2\sqrt{c}^2=a^2-b^2c\)!
distribute
would the answer be this?
Distribute: \[\begin{align*}(4-\sqrt3)(12+5\sqrt3)&=4(12+5\sqrt3)-\sqrt3(12+5\sqrt3)\\&=48+20\sqrt3-12\sqrt3-5\sqrt3^2\\&=48+8\sqrt3-15\\&=33+8\sqrt3\end{align*}\]
rationalize the denominator
Multiply both the numerator and denominator by \(\sqrt2\) to get rid of your radical.\[\frac3{\sqrt2}\times\frac{\sqrt2}{\sqrt2}=\frac{3\sqrt2}{\sqrt2^2}=\frac{3\sqrt2}2\]
you should know better than to post a whole assignment here without even trying it first !!
\[\sqrt{10}x \sqrt{8}\]
the x is multiply
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