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Math Problems
Algebra 1
Simplify radical expressions using conjugates
Rationalise the denominators, simplifying your answer where possible:
\newline
1
7
\frac{1}{\sqrt{7}}
7
1
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Ratinalise denominator :-
\newline
7
+
3
5
7
−
3
5
\frac{7+3 \sqrt{5}}{7-3 \sqrt{5}}
7
−
3
5
7
+
3
5
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Simplify. Rationalize the denominator.
\newline
2
−
6
−
2
\frac{2}{-6 - \sqrt{2}}
−
6
−
2
2
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Simplify. Rationalize the denominator.
\newline
9
9
−
2
\frac{9}{9 - \sqrt{2}}
9
−
2
9
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Simplify. Rationalize the denominator.
\newline
6
−
6
−
3
\frac{6}{-6 - \sqrt{3}}
−
6
−
3
6
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Simplify. Rationalize the denominator.
\newline
10
−
10
−
3
\frac{10}{-10 - \sqrt{3}}
−
10
−
3
10
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Simplify. Rationalize the denominator.
\newline
10
−
7
−
5
\frac{10}{-7 - \sqrt{5}}
−
7
−
5
10
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Simplify. Rationalize the denominator.
\newline
10
−
9
−
2
\frac{10}{-9 - \sqrt{2}}
−
9
−
2
10
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Simplify. Rationalize the denominator.
\newline
4
−
7
−
5
\frac{4}{-7 - \sqrt{5}}
−
7
−
5
4
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Simplify. Rationalize the denominator.
\newline
3
−
2
−
5
\frac{3}{-2 - \sqrt{5}}
−
2
−
5
3
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Simplify. Rationalize the denominator.
\newline
4
−
2
−
3
\frac{4}{-2 - \sqrt{3}}
−
2
−
3
4
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Simplify. Rationalize the denominator.
\newline
3
−
7
−
5
\frac{3}{-7 - \sqrt{5}}
−
7
−
5
3
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Simplify. Rationalize the denominator.
\newline
8
−
2
−
3
\frac{8}{-2 - \sqrt{3}}
−
2
−
3
8
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Simplify. Rationalize the denominator.
\newline
3
−
6
−
2
\frac{3}{-6 - \sqrt{2}}
−
6
−
2
3
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Simplify. Rationalize the denominator.
\newline
9
−
9
−
2
\frac{9}{-9 - \sqrt{2}}
−
9
−
2
9
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Simplify. Rationalize the denominator.
\newline
7
−
9
−
5
\frac{7}{-9 - \sqrt{5}}
−
9
−
5
7
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Simplify. Rationalize the denominator.
\newline
8
−
5
−
2
\frac{8}{-5 - \sqrt{2}}
−
5
−
2
8
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Simplify. Rationalize the denominator.
\newline
9
−
9
−
5
\frac{9}{-9 - \sqrt{5}}
−
9
−
5
9
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Simplify. Rationalize the denominator.
\newline
8
4
−
5
\frac{8}{4 - \sqrt{5}}
4
−
5
8
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Simplify. Rationalize the denominator.
\newline
7
−
4
−
5
\frac{7}{-4 - \sqrt{5}}
−
4
−
5
7
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Simplify. Rationalize the denominator.
\newline
10
−
9
−
3
\frac{10}{-9 - \sqrt{3}}
−
9
−
3
10
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Simplify. Rationalize the denominator.
\newline
`(-7)/(2 + \sqrt{5}\)`
\newline
______
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