Question

Simplify :- √81 4 − 8√343 3 + 15√32 5 + √225​

Answer 1

Step-by-step explanation:

Given : 4 \sqrt{81} -8\sqrt[3]{343} +15\sqrt[5]{32} +\sqrt{ 225}4

81

−8

3

343

+15

5

32

+

225

To Find : Value

Solution:

4 \sqrt{81} -8\sqrt[3]{343} +15\sqrt[5]{32} +\sqrt{ 225}4

81

−8

3

343

+15

5

32

+

225

\sqrt{81}=9

81

=9

\sqrt[3]{343} =7

3

343

=7

\sqrt[5]{32} =2

5

32

=2

\sqrt{ 225} =15

225

=15

Substitute the values

4(9) -8(7)+15(2) +(15)4(9)−8(7)+15(2)+(15)

2525

Hence 4 \sqrt{81} -8\sqrt[3]{343} +15\sqrt[5]{32} +\sqrt{ 225}=254

81

−8

3

343

+15

5

32

+

225

=25