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Rationalize and simplify the expression $\frac{3}{\sqrt{7}-2}$

Step-by-step Solution

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Solution

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Final answer to the problem

$\sqrt{7}+2$
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Step-by-step Solution

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Learn how to solve factor by difference of squares problems step by step online. Rationalize and simplify the expression 3/(7^(1/2)-2). Multiply and divide the fraction \frac{3}{\sqrt{7}-2} by the conjugate of it's denominator \sqrt{7}-2. Multiplying fractions \frac{3}{\sqrt{7}-2} \times \frac{\sqrt{7}+2}{\sqrt{7}+2}. Solve the product of difference of squares \left(\sqrt{7}-2\right)\left(\sqrt{7}+2\right). Add the values 7 and -4.

Final answer to the problem

$\sqrt{7}+2$

Exact Numeric Answer

$4.645751$

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Function Plot

Plotting: $\sqrt{7}+2$

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x
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.
(◻)
+
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Similar Problems Solved

$\frac{3}{5+\sqrt{3}}$

$\frac{1}{2+\sqrt{3}}$

$\frac{2}{\sqrt{5}-\sqrt{3}}$

$\frac{5}{2+\sqrt{3}}$

$\frac{3}{\sqrt{7}-2}$

$\frac{2}{3+\sqrt{3}}$

$\frac{5}{\sqrt{7}}$

Main Topic: Factor by Difference of Squares

The difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2=(a+b)(a-b) in elementary algebra.

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