rationalise the denominator
![4 \div \sqrt{5} 4 \div \sqrt{5}](https://tex.z-dn.net/?f=4+%5Cdiv++%5Csqrt%7B5%7D+)
Answers
Answered by
5
Step-by-step explanation:
Explanation:
4
√
7
−
√
5
to rationalise the denominator we make use of
(
a
+
b
)
(
a
−
b
)
=
a
2
−
b
2
so
4
√
7
−
√
5
=
4
√
7
−
√
5
×
√
7
+
√
5
√
7
+
√
5
=
4
(
√
7
+
√
5
)
(
√
7
)
2
−
(
√
5
)
2
=
4
(
√
7
+
√
5
)
7
−
5
=
4
2
(
√
7
+
√
5
)
2
=
2
(
√
7
+
√
5
)
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