Rationalize the denominators and simplify: .

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Rationalize the denominators and simplify:

\dfrac{7}{4\sqrt{8}}+\dfrac{1}{\sqrt{2}}

. (a)

\dfrac{11\sqrt{2}}{16}

(b)

\dfrac{23\sqrt{2}}{32}

(c)

\dfrac{15\sqrt{2}}{16}

(d)

\dfrac{7\sqrt{2}}{16}