Simplify the expression with radicals $\left(6+\sqrt{7}\right)\left(5+\sqrt{7}\right)$

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Final answer to the problem

$37+11\sqrt{7}$
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Apply the formula: $\left(x+a\right)\left(x+b\right)$$=x^2+\left(a+b\right)x+ab$, where $a=6$, $b=5$, $x=\sqrt{7}$, $x+b=5+\sqrt{7}$ and $x+a=6+\sqrt{7}$

$\left(\sqrt{7}\right)^2+\left(6+5\right)\sqrt{7}+6\cdot 5$

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$\left(\sqrt{7}\right)^2+\left(6+5\right)\sqrt{7}+6\cdot 5$

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Learn how to solve expressions radicales problems step by step online. Simplify the expression with radicals (6+7^(1/2))(5+7^(1/2)). Apply the formula: \left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab, where a=6, b=5, x=\sqrt{7}, x+b=5+\sqrt{7} and x+a=6+\sqrt{7}. Apply the formula: a+b=a+b, where a=6, b=5 and a+b=6+5. Apply the formula: ab=ab, where ab=6\cdot 5, a=6 and b=5. Apply the formula: \left(x^a\right)^b=x, where a=\frac{1}{2}, b=2, x^a^b=\left(\sqrt{7}\right)^2, x=7 and x^a=\sqrt{7}.

Final answer to the problem

$37+11\sqrt{7}$

Exact Numeric Answer

$66.103264$

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Plotting: $37+11\sqrt{7}$

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9
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

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