Question

simplify sqrt(90) A.(9)sqrt(10) B.(10)sqrt(9) c.(3)sqrt(10) d.(10)sqrt(3)

Answer 1

let's find factors of 90 that are perfect squares :)

Answer 2

so its b

Answer 3

\[\sqrt{90}=\sqrt{9*10}\]
9 would be a perfect square so we should be able to simplify and bring it out from underneath the radical

Answer 4

not going to be b

Answer 5

a

Answer 6

not quite, remember that when we simplify it we are looking for what number times itself equals 9
\[\sqrt{90}=\sqrt{9*10}=\sqrt{3*3*10}=3\sqrt{10}\]

Answer 7

ok can u help mw dis one sqrt(121)a^3b^2 A.11absqrt(a) B.11ab c.121ab 11absqrt11ab

Answer 8

the best thing to do is break everything down into factors, then any factor appearing twice (like the 3 before) gets to come out of the radical
\[\sqrt{121a ^{3}b ^{2}}\]

Answer 9

\[=\sqrt{11*11*a*a*a*b*b}\]
can you simplify from there?

Answer 10

no

Answer 11

well 11 is twice so it comes out, same with a and b, but there is one a left over and it will have to stay under the radical.
\[11ab \sqrt{a}\]

Answer 12

Use the following to check your work:\[\left\{3 \sqrt{10},9 \sqrt{10},30,3 \sqrt{10},10 \sqrt{3}\right\} \]