multiply the surd √7 x √56...reply fast I'll mark brilliant...
Answers
Step-by-step explanation:
Multiplication of surds can be obtained by simply following the law of indices.
a√x×b√x=x1a×x1b=x(1a+1b)
From the above equation we can understand that if surds of rational number x are in different orders, then the product of those surds can be obtained by the sum of indices of the surds. Here surds of rational number x are in order a and b, so the indices of the surds are 1a and 1b and after multiplication the result index of x is (1a+1b).
If the surds are in same order, then multiplication of surds can be done by following rule.
a√x×a√y=a√xy
From the above equation we can understand that if two or more rational numbers like x and y are in a same order a, then product of those surds can be obtained by product of the radicands or rational numbers.
If the surds are not in same order, we can express them in same order to obtain the result of a multiplication problem. But first we should try to express the surds in simplest forms and compare with other surds that they are similar surds or equiradical or dissimilar. Whatever the surds are, we can multiply the rational coefficients. Products of surds can rational or irrational, depending upon the situations.
Answer:
19.7989898732
hope it helps