Simplify 5 root 46 - 6 root 200 +5 root 72 + 5 root 300
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78.075
Step-by-step explanation:
5√46-6√200+5√72+5√300
=√2(5√23-6√ 100+5√36+5√150)
=1.414(5√23-60+30+5×5√6)
=1.414(5×4.7958-30+25×2.4494)
=1.414(23.979-30+61.2372)
=1.414(85.2163-30)
=1.414×55.2163
=78.075
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