Question

please answer this question​

Answer 1

Question

Expand -: (√5 + 5√6)²

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Answer

To expand the given expression, we'll use algebraic identities.

Algebraic Identity Required in this question → (a + b)² = a² + 2ab + b²

Let's expand step-by-step.

(√5 + 5√6)²

Step 1: Apply the identity.

⇒ (√5 + 5√6)²

⇒ (√5)² + 2(√5)(5√6) + (5√6)²

Step 2: Simplify.

⇒ 5 + 10√30 + 25 × 6

⇒ 5 + 10√30 + 150

⇒ (5 + 150) + 10√30

⇒ 155 + 10√30

∴ When we expand (√5 + 5√6)² we get 155 + 10√30

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Answer 2

Answer:

$\huge\pink{\boxed{\green {\mathbb{\overbrace {\underbrace{\fcolorbox{red}{aqua}{\underline{\pink{ur\: answer }}}}}}}}}$Question

Expand -: (√5 + 5√6)²

______________________________

Answer

To expand the given expression, we'll use algebraic identities.

Algebraic Identity Required in this question → (a + b)² = a² + 2ab + b²

Let's expand step-by-step.

(√5 + 5√6)²

Step 1: Apply the identity.

⇒ (√5 + 5√6)²

⇒ (√5)² + 2(√5)(5√6) + (5√6)²

Step 2: Simplify.

⇒ 5 + 10√30 + 25 × 6

⇒ 5 + 10√30 + 150

⇒ (5 + 150) + 10√30

⇒ 155 + 10√30

∴ When we expand (√5 + 5√6)² we get 155 + 10√30

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