If √3 = 1.7321, the value of √192−1

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If √3 = 1.7321, the value of √192− 1 √48 − √75
2
,5 correct to 3 places of decimal, is

Expression

= √192 −	1	√48 −	√75
	2

= √64 × 3 −	1	√16 × 3 −	√25 × 3
	2

= 8√3 −	1	× 4√3 −	5√3
	2

= 8√3 − 2√3 − 5√3
= √3 = 1.7321