Question

how to solve this (√13+√17)²

Answer 1

Answer:

$= 30 + 2 \sqrt{221}$

Step-by-step explanation:

${( { \sqrt{13} + \sqrt{17 \:)} } }^{2} \\ {((a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab) \\ let \: a = \sqrt{13} \: \: \: \: \: \: b = \sqrt{17} \\ = { \sqrt{13} }^{2} + { \sqrt{17} }^{2} + 2 \sqrt{13 } \sqrt{17} \\ = 13 + 17 + 2 \sqrt{13 \times 17} \\ = 30 + 2 \sqrt{221}$

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Answer 2

Answer:

30+2√221

Step-by-step explanation:

(√13+√17)²

{(a+b)² = a²+b²+2ab}

here,

let a = √13

b = √17

2ab = 2√13√17

Now,

(√13)² +(√17)² + 2√13√17

13+17+2√13×17

30 +2√221