Question

simplify the following surds.
1) √72
2)√50
3)√48
4)√192
5)3/8√192
6)3√75​

Answer 1

Answer:

here is your answer in the attatchment

Step-by-step explanation:

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Answer 2

Answer:

1) 6√2

2) 5√2

3) 4√3

4) 8√3

5) 3√3

6) 15√3

Step-by-step explanation:

first of all we need to prime factorise all the under roots, then we need to take out the nos. which are in squares and then multiply,

1) √72 = √(2×2×2×3×3)

= 2×3×√2

= 6√2

2) √50= √(2×5×5)

=5√2

3) √48 = √(2×2×2×2×3)

=2×2×√3

=4√3

4) √192 = √(2×2×2×2×2×2×3)

=2×2×2×√3

=8√3

5) 3/8 √192 = 3/8 ×8√3 [since √192 = 8√3]

=3√3

6) 3√75 = 3×√(5×5×3)

= 3×5×√3

=15√3

this should be the answer according to me...

hope it helps