Question

Упростите выражения! 1)√28+√63 2)√99-√176 3)2√50-5√200 4)5√92-√2300

Answer 1

1) √7*4 + √7*9= 2√7 + 3√7= 5√7 2)√11*9 - √11*16= 3√11 - 4√11= -√11 3) 2√25*2 - 5√100*2 = 10√2 - 50√2 = -40√2 4) √23*4 - √23*100 = 2√23 - 10√23 = -8√23

Answer 2

1. √28 + √63 = 2√7 + 3√7 = 5√7

2. √99 - √176 = 3√11 - 4√11 = -√11

3. 2√50 - 5√200 = 2√(252) - 5√(1002) = 25√2 - 510√2 = -40√2

4. 5√92 - √2300 = 5√423 - √10023 = 10√23 - 10√23 = 0