The main rules that we use here are :
i)

for nonnegative values a and b.
ii)

.
Thus, first 'decompose' the numbers in the radicals into prime factors:

.
By rule (i) we write:

.
We can collect these terms as follows:

, and by rule (ii) we have:

Answer:

.
Step-by-step explanation:
BE/BC=BD/BA
tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.
4/(4 + 10) = 5/(5+X) Cross Multiply
4(5+x) = 5(4+10)m
20 +4x=20 +50 subtract 20 from both sides
4x = 50 divide by 4
x =12.5
464 inches. Hope this helped! :)