Please help me with simplifying radicals
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thanks
1. sqrt 18 = sqrt (9x2) = sqrt (3^2)x 2 = 3 sqrt 2
2. sqrt 12 = sqrt (4x3) = sqrt (2^2)x3 = 2 sqrt 3
3. cubert 40 = cubert (8x5) = cubert (2^3)x5 = 2 cubert 5
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9. quadrt 48 = quadrt (16x3) = quadrt (2^4)x3 = 2 quadrt 3
Please do the remaining questions accordingly.
Hello, markie_ien!
Do you know how to simplify radicals?
For example, for square roots
. . $\displaystyle \sqrt{ab}\:=\:\sqrt{a}\cdot\sqrt{b}$
In baby-talk, if we have the square root of a product,
. . we can "split" them into two square roots.
Example: Simplify $\displaystyle \sqrt{18}$
We know that 18 is not a square number.
Can we factor it so that one factor is a square?
. . Yes: .$\displaystyle 18 \:=\:9 \times 2$
So we have: . $\displaystyle \sqrt{18}\:=\:\sqrt{9\cdot2} \:=\:\sqrt{9}\cdot\sqrt{2} $
Since $\displaystyle \sqrt{9} = 3$, the answer is: .$\displaystyle 3\sqrt{2}$
Now try this on the problems with square roots . . .