what (5 -radical 2)(5+radical 2)
Use the fact that (a + b)(a - b)
= a^2 - b^2,
The answer is 25 - 2 = 23
(5 -√2)(5+√2)
= 25 - 2
= 23
this resembles the difference of square pattern
(a+b)(a-b) = a^2 - b^2
To simplify the expression (5 - √2)(5 + √2), you can use the distributive property.
Step 1: Apply the distributive property by multiplying the first term (5) by both terms in the second parenthesis:
(5 - √2)(5 + √2) = 5*5 + 5*√2 - √2*5 - √2*√2
Step 2: Simplify each term:
= 25 + 5√2 - 5√2 - 2
= 25 - 2
Step 3: Combine like terms:
= 23
So, (5 - √2)(5 + √2) simplifies to 23.