Question

Simplify: √3×√8×√39/ √24√26

Answer 1

=(√3*2√2*√3*√13)/(2*√2*√3*√2*√13)
=√3/√2

Answer 2

√3×√8×√39/ √24√26 = 312√6

Given:

√3×√8×√39/ √24√26

To find:

Simplify

Solution:

We have been given this

√3×√8×√39/ √24√26

We will prime factorise each number and then form groups of two same roots, so that they can be made into one whole number

√3 * √2 * √2 * √2 * √3 * √13 * √2 * √2 * √2 * √3 * √ 2 * √13

= (√2 * √2) * (√2 *√2) * (√2 * √2) *(√3 *√3) *(√13 * √13) * (√3 * √2)

= 2 * 2 *2 * 3* 13 * √6

= 312√6

Hence, the answer is 312√6.

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