Question

Calculate without using a calculator3√27+(-3√64​

Answer 1

`9 √(3 ) -12 √(4) \\ 3 √(9 * 3) - 3 √(16 * 4 ) \\ from \: here \: we \: see \: that \: the \: square \: root \: of \: 9 \: is \: 3 \: and \: square \: root \: of \: 16 \: is \: 4 \: so fnal \: answer \: is \\ 9 √(3) - 12 √(4)`

Explanation:

from the question we see root 27 and root 64

so what we do next is we look for two numbers that we can multiply together to give 27 and 64 in which one if the number is a perfect square

for root 27 we use 9 and 3

for root 64 we use 16 and 4