Question

multiply and simplify by factoring
sqrt45a^9b x sqrt27a^10b^8

Answer 1

is this your equation?\[\sqrt{45a^9b}*\sqrt{27a^{10}b^8}\]

Answer 2

yes :D

Answer 3

first note that:\[\sqrt{x}*\sqrt{y}=\sqrt{xy}\]so we get:\[\sqrt{45a^9b}*\sqrt{27a^{10}b^8}=\sqrt{45*27*a^9*a^{10}*b*b^8}\]\[=\sqrt{3^2*5*3^3*a^{19}*b^9}\]\[=\sqrt{3^5*5*a^{19}b^9}\]do you know how to simplify from here on?

Answer 4

no clue :(

Answer 5

ok, what do you think the answer to this is?
\[\sqrt{x^{2n}}\]

Answer 6

uhm... x times x=2xn?

Answer 7

ok - you really need to learn the rules of indexes first, try here: http://www.mathsteacher.com.au/year8/ch07_indices/02_mult/law.htm

Answer 8

another useful resource: http://www.revisesmart.co.uk/maths/core-1/indices-and-surds.html

Answer 9

this will be 3a4sqrt5ab * 3a5b4sqrt3 = 9a9b4sqrt15ab

Answer 10

the second 9 and 4 are exponents

Answer 11

ok ?

Answer 12

\[9 \sqrt{15} a^{19/2} b^{9/2} \]