The value of -3-22 is equal to

The correct option is C 5+2√(6)The given expresson is nbsp;(√(3)+√(2))^2 Using identity (a+b)^2 = a^2 + b^2 + 2ab Hence, nbsp;(√(3)+√(2))^2= (√(3))^2 + ( ...

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Standard IX

Mathematics

Identities for Irrational Numbers

The value of ...

Question

The value of $(\sqrt{3} + \sqrt{2})^{2}$ is equal to ____.

5 + 2 \sqrt{3}

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5 + 2 \sqrt{2}

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5 + 2 \sqrt{6}

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3 + 2 \sqrt{6}

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Solution

The correct option is C $5 + 2 \sqrt{6}$
The given expresson is $(\sqrt{3} + \sqrt{2})^{2}$
Using identity $(a + b)^{2} = a^{2} + b^{2} + 2 a b$

Hence,
$(\sqrt{3} + \sqrt{2})^{2} = (\sqrt{3})^{2} + (\sqrt{2})^{2} + 2 \times \sqrt{3} \times \sqrt{2}$
= $3 + 2 + 2 \sqrt{6}$
= $5 + 2 \sqrt{6}$

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The value of (√3+√2)2 is equal to ____.

The correct option is C 5+2√6The given expresson is (√3+√2)2 Using identity (a+b)2=a2+b2+2ab Hence, (√3+√2)2=(√3)2+(√2)2+2×√3×√2 = 3+2+2√6 = 5+2√6

The value of $(\sqrt{3} + \sqrt{2})^{2}$ is equal to ____.

The correct option is C $5 + 2 \sqrt{6}$
The given expresson is $(\sqrt{3} + \sqrt{2})^{2}$
Using identity $(a + b)^{2} = a^{2} + b^{2} + 2 a b$

Hence,
$(\sqrt{3} + \sqrt{2})^{2} = (\sqrt{3})^{2} + (\sqrt{2})^{2} + 2 \times \sqrt{3} \times \sqrt{2}$
= $3 + 2 + 2 \sqrt{6}$
= $5 + 2 \sqrt{6}$