√2 (√45 + √80) can be written in the form a√10 where a is an integer. Find the value of a.

a = 7

Step-by-step explanation:

Using the rule of radicals

× ⇔

Given

( + ) ← distribute parenthesis by

= +

= +

= × + ( × )

= 3 + 4

= 7 → in the form a

with a = 7

7

Step-by-step explanation:

√2 (√45 + √80) = √90+√160= 3√10+4√10= 7√10

7√10= a√10

a=7

2? if not the correct answer you might need to provide more information

step-by-step explanation: