Question

heya

rationalise the denominator of given irrational numbet

49/3-root2​

Answer 1

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Answer 2

Answer:

Explanation:

Repeat with one of the remaining numbers. Before we can simplify the square root, we keep factoring it until we've broken it down into two identical parts. This makes sense if you think about what a square root means: the term √(2 x 2) means "the number you can multiply with itself to equal 2 x 2." Obviously, this number is 2! With this goal in mind, let's repeat the steps above for our example problem, √(2 x 49):

2 is already factored as low as it will go. (In other words, it's one of those prime numbers on the list above.) We'll ignore this for now and try to divide 49 instead.

49 can't be evenly divided by 2, or by 3, or by 5. You can test this yourself using a calculator or long division. Because these don't give us nice, whole number results, we'll ignore them and keep trying.

49 can be evenly divided by seven. 49 ÷ 7 = 7, so 49 = 7 x 7.

Rewrite the problem: √(2 x 49) = √(2 x 7 x 7).