rationalise 4 /-3+ root 7
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Answered by
3
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Algebra Examples
Popular Problems Algebra Rationalize the Denominator 4/(3+ square root of 7)
4
3
+
√
7
43+7
Multiply
4
3
+
√
7
43+7 by
3
−
√
7
3
−
√
7
3-73-7.
4
3
+
√
7
⋅
3
−
√
7
3
−
√
7
43+7⋅3-73-7
Multiply
4
3
+
√
7
43+7 and
3
−
√
7
3
−
√
7
3-73-7.
4
(
3
−
√
7
)
(
3
+
√
7
)
(
3
−
√
7
)
4(3-7)(3+7)(3-7)
Expand the denominator using the FOIL method.
4
(
3
−
√
7
)
9
−
3
√
7
+
√
7
⋅
3
−
√
7
2
4(3-7)9-37+7⋅3-72
Simplify.
4
(
3
−
√
7
)
2
4(3-7)2
Cancel the common factor of
4
4 and
2
2.
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2
(
3
−
√
7
)
2(3-7)
Apply the distributive property.
2
⋅
3
+
2
(
−
√
7
)
2⋅3+2(-7)
Multiply.
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6
−
2
√
7
6-27
The result can be shown in multiple forms.
Exact Form:
6
−
2
√
7
6-27
Decimal Form:
0.70849737
…
0.70849737…
Answered by
1
Answer:
Step-by-step explanation:
4/√3+√7
= 4(√3-√7) / (√3+√7)(√3-√7)
= 4(√3-√7) / 3 - 7
= 4(√3-√7) /- 4
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