State whether the given expressions is true or false:
$(3 - \sqrt{5})^{2} = 9$

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
Formula ${(a - b)}^{2} = a^{2} + b^{2} - 2 a b$
Applying the formula, we get
${(3 - \sqrt{5})}^{2} = 3^{2} + {\sqrt{5}}^{2} - 2 \times 3 \times \sqrt{5} = 9 + 5 - 6 \sqrt{5} = 14 - 6 \sqrt{5}$
$14 - 6 \sqrt{5}$ is an irrational number.

Suggest Corrections

Similar questions

\sqrt{7} - \sqrt{3}

= \sqrt{7} + \sqrt{3}

\sqrt[3]{49}

\Rightarrow \sqrt[3]{7}

5x+9 is an algebraic expression. State whether the statement is True or False.

$5^{2}$ + $5^{3}$ = $5^{5}$ . State whether true or false.

\sqrt{4} + \sqrt{5}

\sqrt{9}

Join BYJU'S Learning Program