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Answer: 
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3*sqrt(7)
3 times the square root of 7
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Explanation:
I'm assuming the V stands for square root. You can write sqrt(63).
The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is 
I aussume the figure is a square and the line √288 is creating 45° angles.
a² + b² = c² a² = b²
2a² = 288
a² = 144
a = 12
Every side is 12in
Solution:
We have: In the attached image, observe rectangle triangle ΔBAD
Use the Pythagorean Theorem:
BD = √(AB² + AD²)
BD = √(2² + 4²)
BD = √(4 + 16)
BD = √20
In the attached image, observe rectangle triangle ΔBDH
Use the Pythagorean Theorem:
BH = √(BD² + DH²)
BH = √(√20² + 5²)
BH = √(20 + 25)
BH = √45
BH = √(9 × 5)
BH = √9 × √ 5
BH = 3√5
BH = 3 × 2.24
BH = 6.72 cm
I’m pretty sure it’s the last option.
