Question

упростить

√60+(√3-√5)^2 

Answer 1

$sqrt{60}+(sqrt3 - sqrt5)^2 = sqrt{60} + (sqrt3)^2 - 2sqrt3timessqrt5+(sqrt5)^2 = \\ =sqrt60 + 3 -2sqrt{15} +5 = sqrt{60} - sqrt{60} + 8 = 8$

Answer 2

√60 + (√3 - √5)² = √(4 · 15) + (√3)² - 2 · √3 · √5 + (√5)² = 2√15 + 3 -

- 2√15 + 5 = 8.