Final answer:
To find the values of h and w in the equation (7 + √2)(h + √w) = 14 + 2√2 + 7√/11+ √22, we need to multiply the two binomials together using the distributive property After calculation, we find that h = 2, and w = 4.
Step-by-step explanation:
To find the values of h and w in the equation (7 + √2)(h + √w) = 14 + 2√2 + 7√w/11 + √22, we need to multiply the two binomials together using the distributive property.
The result will be another binomial. We can then compare the coefficients of the like terms on both sides of the equation to determine the values of h and w.
Expanding the equation, we get (7h + 7√w + √2h + √2w) = 14 + 2√2 + 7√w/11 + √22.
Equating the coefficients of the like terms, we have 7h = 14, 7√w = 7√w/11, √2h = 2√2, and √2w = √22. Solving these equations, we find that h = 2, and w = 4.