Answer:
1.41
Step-by-step explanation:
Given:
(2√12 * 3√5) / (√30 * √36)
Divide √12 and √36 by √12
= (2*1 * 3√5) / (√30 * √3)
= (2 * 3√5) / (√30 * √3)
Divide √5 and √30 by √5
= (2 * 3*1) / (√6 * √3)
= (2 * 3) / √18
= 6/√18
= 6 / 4.2426406871192
= 1.4142135623730
Approximately,
1.41
Alternatively,
(2√12 * 3√5) / (√30 * √36)
= 6.9282032302755 * 6.7082039324993 / 5.4772255750516 * 6
= 46.47580015448846241614255715 / 32.8633534503096
= 1.4142135623730
