By rationalising the denominator, which surd is equivalent to \(\dfrac{{15}}{{\sqrt 6 }}\)
\(\dfrac{3}{2}\;\sqrt 6 \)
\(\dfrac{5}{2}\;\sqrt 6 \)
\(3\;\sqrt 6 \)
\(5\sqrt 6 \)
By rationalising the denominator, which surd is equivalent to \(\dfrac{{8\sqrt 3 }}{{5\sqrt 7 }}\)
\(\dfrac{8}{{35}}\;\sqrt {21} \)
\(\dfrac{8}{{15}}\;\sqrt {21} \)
\(\dfrac{{24}}{{35}}\;\sqrt 7 \)
\(\dfrac{{24}}{5}\;\sqrt {21} \)
If \(\dfrac{4}{{\sqrt {15} }} + \dfrac{5}{{\sqrt 6 }}\) is simplified with a rational denominator, the numerator of this expression is ?
\(8\sqrt {15} + 25\sqrt 6 \)
\(\dfrac{{10}}{{5\sqrt 2 }}=\)
\(\sqrt 2 \)
Simplify \(4\sqrt 3 - \dfrac{3}{{\sqrt {27} }} - \sqrt {243} \)
\( - \dfrac{{16}}{3}\sqrt 3 \)
If \(\dfrac{{5 + \sqrt 6 }}{{5 - \sqrt 6 }}\) is simplified with a rational denominator, the numerator of this expression is
\(31 + 10\sqrt 6 \)
If \(\dfrac{{\sqrt 6 + \sqrt 2 }}{{\sqrt 5 + \sqrt 3 }}\) is simplified with a rational denominator, the numerator of this expression is
\(\sqrt {30} + \sqrt {10} - 3\sqrt 2 - \sqrt 6 \)
Write \(\dfrac{4}{\sqrt{2}}\) in the form \(a\sqrt{b}\)
\(2\sqrt{2}\)
Write \(\dfrac{2\sqrt{45}}{3\sqrt{2}}\) in the form \(a\sqrt{b}\)
\(\sqrt{10}\)
Write \(\dfrac{3}{\sqrt{2}-\sqrt{3}}\) in the form \(a(\sqrt{b}+\sqrt{c})\)
\(-3(\sqrt{2}+\sqrt{3})\)
Simplify by rationalising the denominator of \(\dfrac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}\)
\(5+2\sqrt{6}\)
Simplify by rationalising the denominator of \(\dfrac{1}{\sqrt{5}-2}+\dfrac{1}{\sqrt{5}+2}\)
\(2 \sqrt{5}\)
