Given (2 √(5)+3√(2))^2 We know (a+b)^2=a^2+b^2+2ab ∴ (2 √(5)+3√(2))^2 = (2 √(5))^2+(3√(2))^2+ 2 × 2 √(5)× 3√(2) = 20+18+12√(10) = 38+12√(10) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Identities for Irrational Numbers

Simplify 2 √5...

Question

Simplify $(2 \sqrt{5} + 3 \sqrt{2})^{2}$

Open in App

Solution

$G i v e n (2 \sqrt{5} + 3 \sqrt{2})^{2} W e k n o w (a + b)^{2} = a^{2} + b^{2} + 2 a b ∴ (2 \sqrt{5} + 3 \sqrt{2})^{2} = (2 \sqrt{5})^{2} + (3 \sqrt{2})^{2} + 2 \times 2 \sqrt{5} \times 3 \sqrt{2} = 20 + 18 + 12 \sqrt{10} = 38 + 12 \sqrt{10}$

Suggest Corrections

Similar questions

{(\frac{3}{5})}^{3} \times {(\frac{3}{5})}^{- 2} \times [(\frac{1}{2})^{2}]^{- 2} \times \frac{1}{24}

Simplify the following expressions :

(i) $(\sqrt{3} + \sqrt{7})^{2}$

(ii) $(\sqrt{5} - \sqrt{3})^{2}$

(iii) $(2 \sqrt{5} + 3 \sqrt{2})^{2}$

(2 \frac{1}{3} - 1 \frac{1}{2})

\frac{4}{5} + 2 \frac{2}{5} \div 3 \frac{1}{5}

(3 + \sqrt{3}) (2 + \sqrt{2})

(3 + \sqrt{3}) (3 - \sqrt{3})

(\sqrt{5} + \sqrt{2})^{2}

(\sqrt{5} - \sqrt{2}) (\sqrt{5} + \sqrt{2})

2^{\frac{2}{3}} {.2}^{\frac{1}{5}}

Join BYJU'S Learning Program