Question

simplify step by step​

Answer 1

Answer:

A

N

S

W

E

R

_________35__________________

Answer 2

Answer:

$\huge\colorbox{cyan}{Answer\:★࿐}$

√(5+2√6)

= √(3+2+2√3.√2)

= √{(√3)² + 2.√3.√2 + (√2)²}

= √(√3+√2)²

= √3 + √2

√(8-2√15)

= √(5+3-2.√5-√3)

= √{(√5)² - 2.√5.√3+ (√3)²}

= √(√5-√3)³

= √5 - √3

Now,

√(5+2√6) + √(8-2√15)

= √3 + √2 + √5 - √3

$\boxed{\pink{= √2 + √5}}$

$\huge\boxed{\pink{ŊĬƘṪƟ}}$