Question

find the value of (5+√3)²​

Answer 1

Answer:

28 + 10√3

Step-by-step explanation:

$\big(5 + \sqrt3\ \big)^2\\ \\ \text{Using the formual: } (a+b)^2 = a^2 + b^2 + 2ab\\ \\=5^2 + \big( \sqrt3\ \big)^2 + 2 \times 5 \times \big( \sqrt3\ \big)\\ \\ = 25 + 3 +10 \sqrt3\\ \\=28+10 \sqrt3$

Answer 2

Given:-

• (5+√3)²

To find:-

• Expand using identities.

Identity used:-

$\large \blue{\underline{ \green{ \boxed{\bf{ \red{ \implies {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }}}}}}$

Where,

• a = 5
• b = √3

Solution:-

$\large\underline{\bf{ \implies(5} + \sqrt{3}) ^{2} }$

$\large\underline{\bf{ \implies {5}^{2} + 2 \times 5 \times \sqrt{3} + {( \sqrt{3} )}^{2} }}$

$\large\underline{\bf{25 + 10 \sqrt{3} + 3 }}$

$\large \blue{\underline{ \green{ \boxed{\bf{ \pink{\maltese{ \red{ \: \: \: \: \: \: \: \: \: \: \: 28 + 10 \sqrt{3} }}}}}}}}$

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