Question

(√45 - √5)² (√12-√3) (√77 - √15)×(√77 + √15) (√6-√24)²-√0,0121

Answer 1

Объяснение:

(√45 - √5)²=(√45)²-2√5*√45+(√5)²=45+5-2*(√5)²*√9=50-2*5*3=50-30=20

(√12-√3)²=(√12)²-2√3*√12+(√3)²=12+3-2√3*√3*√4=15-2*3*2=15-12=3

(√77 - √15)×(√77 + √15)=(√77)²-(√15)²=77-15=61

(√6-√24)²-√0,0121=(√6)²-2√6*√24+(√24)²-√(0,11)²= 6+24-2*√6*√6*√4-0,11=30-24-0,11=6-0,11=5,89

Answer 2

Let's break down the expression step by step:

1. (√45 - √5)²: (√45 - √5)² = (6√5 - √5)² = (5√5)² = 25 * 5 = 125.

2. (√12 - √3): (√12 - √3) = (√4 * √3 - √3) = (2√3 - √3) = √3.

3. (√77 - √15) × (√77 + √15): This is a difference of squares pattern: (a - b) * (a + b) = a² - b². So, (√77 - √15) × (√77 + √15) = (√77)² - (√15)² = 77 - 15 = 62.

4. (√6 - √24)²: (√6 - √24)² = (2√6 - √24)² = (√24 * √6 - √24)² = (4√6 - √24)² = (2√6)² = 24.

5. √0.0121: √0.0121 = √(121 / 10000) = 0.11.

Now let's put it all together:

(√45 - √5)² (√12 - √3) (√77 - √15) × (√77 + √15) (√6 - √24)² - √0.0121 = 125 * √3 * 62 * 24 - 0.11 = 232500√3 - 0.11.

So, the simplified result of the expression is approximately 232500√3 - 0.11.