Answer:
8
Step-by-step explanation:
Two different approaches:
<u>Method 1</u>
Apply radical rule √(ab) = √a√b to simplify the radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, (√98 - √50)² = (7√2 - 5√2)²
= (2√2)²
= 4 x 2
= 8
<u>Method 2</u>
Use the perfect square formula: (a - b)² = a² - 2ab + b²
where a = √98 and b = √50
So (√98 - √50)² = (√98)² - 2√98√50 + (√50)²
= 98 - 2√98√50 + 50
= 148 - 2√98√50
Apply radical rule √(ab) = √a√b to simplify radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, 148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)
= 148 - 140
= 8
Answer:
What are the options?
Step-by-step explanation:
It says which one lol
Answer:
the new one for a: 12/21 and 15/21
the new one for b: 20/25 and 15/25
the new one for c: 20/27 and 33/27
the new one for d: 25/24 and 36/24
Step-by-step explanation:
4/7 x 3/3 equals 12/21
3/5 x 5/5 equals 15/25
11/9 x 3/3 equals 33/27
6/4 x 6/6 equals 36/24
