Question

can someone help me work through the rest of this problem(will fan+medal)

Answer 1

\[\sqrt{10}*\sqrt{8}\]

Answer 2

i got it down to \[2\sqrt{2}*\sqrt{5}\]

Answer 3

@pgpilot326

Answer 4

well, not quite...

\[\sqrt{10}\cdot \sqrt{8}=\left( \sqrt{5}\cdot \sqrt{2} \right)\cdot\left( \sqrt{4}\cdot \sqrt{2} \right)= \sqrt{4}\cdot \sqrt{2}\cdot \sqrt{2}\cdot \sqrt{5}\]Can you reduce from here?

Answer 5

umm can u combine \[\sqrt{2}\sqrt{2}=\sqrt{4}\]

Answer 6

yep...

Answer 7

ok i think i can work the rest out thanks

Answer 8

do you understand why?

Answer 9

i think because theyre the same

Answer 10

wait wouldnt it equal 2

Answer 11

\[\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}\]

property of roots

Answer 12

so..\[\sqrt{4}\]

Answer 13

yes, but \[\sqrt{4}=2 \text{ and } \sqrt{2}\cdot \sqrt{2}=\left( \sqrt{2} \right)^2 = 2\]

Answer 14

oh ok thanks for explaining : )

Answer 15

https://www.mathsisfun.com/algebra/exponent-laws.html

have a look...

Answer 16

ok i will