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

## Step-by-step Solution

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###  Videos

$3\sqrt{2}$
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##  Step-by-step Solution 

Problem to solve:

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

Specify the solving method

1

The square root of $2$ is $\sqrt{2}$

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

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

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

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

$3\sqrt{2}$

SnapXam A2

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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

### Main topic:

Multiplication of numbers

~ 0.05 s

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