simplify :4 by square root 7 + square root 3
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Finite Math Examples
Popular Problems Finite Math Simplify 4/(2+ square root of 3+ square root of 7)
4
2
+
√
3
+
√
7
42+3+7
Multiply
4
2
+
√
3
+
√
7
42+3+7 by
2
+
√
3
−
√
7
2
+
√
3
−
√
7
2+3-72+3-7.
4
2
+
√
3
+
√
7
⋅
2
+
√
3
−
√
7
2
+
√
3
−
√
7
42+3+7⋅2+3-72+3-7
Multiply
4
2
+
√
3
+
√
7
42+3+7 and
2
+
√
3
−
√
7
2
+
√
3
−
√
7
2+3-72+3-7.
4
(
2
+
√
3
−
√
7
)
(
2
+
√
3
+
√
7
)
(
2
+
√
3
−
√
7
)
4(2+3-7)(2+3+7)(2+3-7)
Expand the denominator using the FOIL method.
4
(
2
+
√
3
−
√
7
)
4
+
2
√
3
−
2
√
7
+
√
3
⋅
2
+
√
3
2
−
√
21
+
√
7
⋅
2
+
√
21
−
√
7
2
4(2+3-7)4+23-27+3⋅2+32-21+7⋅2+21-72
Simplify.
4
(
2
+
√
3
−
√
7
)
4
√
3
4(2+3-7)43
Cancel the common factor of
4
4.
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2
+
√
3
−
√
7
√
3
2+3-73
Multiply
2
+
√
3
−
√
7
√
3
2+3-73 by
√
3
√
3
33.
2
+
√
3
−
√
7
√
3
⋅
√
3
√
3
2+3-73⋅33
Combine and simplify the denominator.
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(
2
+
√
3
−
√
7
)
√
3
3
(2+3-7)33
The result can be shown in multiple forms.
Exact Form:
(
2
+
√
3
−
√
7
)
√
3
3
(2+3-7)33
Decimal Form:
0.62717530
…
0.62717530…