Step-by-step explanation:
2√8 • 4√8 • 6√3
Let's break the surd form:
√8 is a surd but can be broken down into 2√2(how did i get 2√2 let's take a look)
√8=[√4×√2)
Note:To break down a surd you must first check is the number can have a number which has a square root example:-simplify √32 to its lowest term.
√32 has factors of 1,2,4,8,16 and 32
if you carefully observe these numbers there is 3 numbers that are a perfect squares{4,8,16}
in surd we can only use two numbers lets try 4 and 8
√32=√4×√8 (8 has factors of 1,2,4,8)
√32=2× √2×√4
√32=2×√2×2
√32=2×2×√2
√32=4√2
now back to the question
2√8×4√8×6√3
2(√2×√4)×4(√2×√4)×6√3
2(√2×2)×4(√2×2)×6√3
2(2√2)×4(2√2)×6√3
4√2×8√2×6√3
when multiply in surd form make sure that the surd have at least a similar surd number example 2√2×4√2=2×2×(√2)²
=4×2
=8
let's rewind at the question
4×8(√2)²×6√3
32×2× 6√3
64×6√3
384√3
i hoped i helped and if you like the answer pls mark it as brainliest
