Step-by-step Solution

Multiply $\left(\sqrt{2}\sqrt{13+\sqrt{7}}-2\sqrt{5-\sqrt{7}}\right)\frac{1}{\sqrt{3-\sqrt{7}}}$

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Final Answer

$3\sqrt{2}$$\,\,\left(\approx 4.242640687119286\right)$
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Step-by-step Solution

Problem to solve:

$\left(\sqrt{2}\sqrt{13+\sqrt{7}}-2\sqrt{5-\sqrt{7}}\right)\cdot\frac{1}{\sqrt{3-\sqrt{7}}}$
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The square root of $2$ is $\sqrt{2}$

$\left(\sqrt{2}\sqrt{13+\sqrt{7}}-2\sqrt{5-\sqrt{7}}\right)\frac{1}{\sqrt{3-\sqrt{7}}}$

Learn how to solve multiplication of numbers problems step by step online.

$\left(\sqrt{2}\sqrt{13+\sqrt{7}}-2\sqrt{5-\sqrt{7}}\right)\frac{1}{\sqrt{3-\sqrt{7}}}$

Unlock this full step-by-step solution!

Learn how to solve multiplication of numbers problems step by step online. Multiply (2^0.5(13+7^0.5)^0.5-2(5-7^0.5)^0.5)1/((3-7^0.5)^0.5). The square root of 2 is \sqrt{2}. Calculate the power \sqrt{7}. Multiply the fraction and term.

Final Answer

$3\sqrt{2}$$\,\,\left(\approx 4.242640687119286\right)$
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7
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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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

Tips on how to improve your answer:

$\left(\sqrt{2}\sqrt{13+\sqrt{7}}-2\sqrt{5-\sqrt{7}}\right)\cdot\frac{1}{\sqrt{3-\sqrt{7}}}$

Time to solve it:

~ 0.03 s