Simplify the surds √320=...... * – InterviewSolution

1.

Simplify the surds √320=...... *

Answer»

Step-by-step explanation:

$\sqrt{320}$

Factor out the PERFECT SQUARE

$\sqrt{ {8}^{2} \times 5}$

The root of a product is equal to the product of the ROOTS of each factor

$\sqrt{ {8}^{2} } \sqrt{5}$

Reduce the index of the RADICAL and exponent with 2

Solution :

$8 \sqrt{5}$

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