Which of the following identities is correct for non-negative real numbers and ?

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

Problem

Which of the following identities is correct for non-negative real numbers

a

and

b

? (a)

\sqrt{a/b}=\dfrac{\sqrt{a}}{b}

(b)

\sqrt{a}\,\sqrt{b}=\sqrt{ab}

(c)

\sqrt{a+b}=\sqrt{a}+\sqrt{b}

(d)

\sqrt{ab}=a\sqrt{b}