369,773 views
20 votes
20 votes
Not a graded or timed assignment. Quick answer showing work = amazing review :)

Not a graded or timed assignment. Quick answer showing work = amazing review :)-example-1
User Infomofo
by
3.1k points

1 Answer

20 votes
20 votes

You have the following expression:

-9√98

If you don't use a factor tree, then, you can express the number 98 as follow:

98 = 2*49

moreover, consider that 49 = 7*7 = 7^2,

then, 98 can be written as follow:

98 = 2*7^2

Now, consider that the square root of a product is the product of the square roots, then, you have:

√98 = √(2*7^2) = √(2)*√(7^2) = 7√2

Hence, you can write the original expression as follow:

-9√98 = -9*7√2 = -63√2

answer: -63√2

User CR Sardar
by
2.8k points