Question

is square root of 2 x square root of 50 irrational

Answer 1

To determine if \(\sqrt{2} \times \sqrt{50}\) is irrational, we can first simplify the expression.

\[
\sqrt{2} \times \sqrt{50} = \sqrt{2 \times 50} = \sqrt{100}
\]

Calculating \(\sqrt{100}\), we find:

\[
\sqrt{100} = 10
\]

Since \(10\) is a rational number (it can be expressed as the fraction \(\frac{10}{1}\)), the product \(\sqrt{2} \times \sqrt{50}\) is rational.

Thus, \(\sqrt{2} \times \sqrt{50}\) is not irrational; it is a rational number.