Question

simplify the following surd 6√64

Answer 1

6 x 8 = 48

Answer 2

what happens to the 64 though?

Answer 3

64 is 8x8 so 8^2

Answer 4

It becomes 8. What it's asking is basically what number times itself is 64? and that number happens to be 8. 8x8 = 64

Answer 5

oh okay, cheers.

Answer 6

how come 7√50 is different?

Answer 7

it equals 35√2

Answer 8

\[7\sqrt{50}\]\[\sqrt50= \sqrt{25} \times \sqrt{2}\]and\[\sqrt25 = 5\]so
\[7\sqrt50 = 7 \times \sqrt25 \times \sqrt2\]\[=7 \times 5 \times \sqrt2\]\[=35\sqrt2\]