Question

7^1/2 • 8^1/8
Simplify

Will mark BRAINLIEST

Answer 1

Step-by-step explanation:

Given that:

${7}^{\frac{1}{2} } \times {8}^{ \frac{1}{2} }$

To find: Simplification of expression

Solution:

As we know that

${x}^{a} \times {y}^{a} = {(xy)}^{a}$

So here, powers are same,

${7}^{\frac{1}{2} } \times {8}^{ \frac{1}{2} } \\ \\ = ( {7 \times 8)}^{ \frac{1}{2} } \\ \\ = ( {56)}^{ \frac{1}{2} } \\ \\ or \\ \\ \sqrt{56}$

Now solve √56 by division method

7 ) 56 (7.483

49

----------

144 )700(

576

--------------

1488 ) 12400(

11904

-----------------

14963)49600(

44899

Thus,

${7}^{\frac{1}{2} } \times {8}^{ \frac{1}{2} } = \sqrt{56} = 7.483$

Hope it helps you.

Answer 2

Answer:

7½.8½=√56=7.483.

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