Question

Simplify whether surd or not surd root28 *root127

Answer 1

2√7 × √127

2√889

So it is a Surd.

Answer 2

$\sqrt{28} \times \sqrt{127} \\ \\ = \sqrt{28 \times 127} \\ \\ = \sqrt{2 \times 2 \times 7 \times 127} \\ \\ = \sqrt{4 \times 7 \times 127} \\ \\ = 2 \sqrt{7 \times 127} \\ \\ = \boxed{2 \sqrt{889}}$

Hence, √889 is an irrational number whose value is non-terminating and non-recurring therefore, 2√889 = √28 × √127 is an irrational number because, the product of any non-zero rational number with irrational number is an irrational number. Hence, √28 × √127 is a surd.